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Domain > pablitron.com
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More information on this domain is in
AlienVault OTX
Is this malicious?
Yes
No
DNS Resolutions
Date
IP Address
2025-04-24
52.10.184.195
(
ClassC
)
2026-02-02
104.21.40.97
(
ClassC
)
Port 80
HTTP/1.1 200 OKDate: Mon, 02 Feb 2026 02:48:53 GMTContent-Type: text/html; charsetutf-8Transfer-Encoding: chunkedConnection: keep-aliveNel: {report_to:cf-nel,success_fraction:0.0,max_age:604800}Accept-Ranges: bytesAccess-Control-Allow-Origin: *Cache-Control: no-cache, must-revalidateLast-Modified: Thu, 08 Jan 2026 09:23:50 GMTStrict-Transport-Security: max-age2592000; includeSubDomains; preloadcf-cache-status: DYNAMICReport-To: {group:cf-nel,max_age:604800,endpoints:{url:https://a.nel.cloudflare.com/report/v4?sgnJsS8bCAThs64LL8hxx8JC5IRdVX3ExJtJWQLzg8Gc06KLyElmkWATJFo4okLyRxfol%2Fr5QoUdPWDKSZLR7mdrkLWoOL%2FHq1cpSlo8%3D}}Server: cloudflareCF-RAY: 9c765f46097d68f1-PDXalt-svc: h3:443; ma86400 !DOCTYPE html>htmllangen >head>metacharsetUTF-8>title>Pablitron/title>metahttp-equivContent-Security-Policy contentupgrade-insecure-requests>metacontentminimum-scale1.0, widthdevice-width, maximum-scale1.0, user-scalableno nameviewport />linkrelicon hrefhttps://000706013.deployed.codepen.website/pablitron.ico />metapropertyog:title contentPablitron.com/>metapropertyog:image contenthttps://000706013.deployed.codepen.website/pablitron_logo.jpeg/>metapropertyog:description contentadvanced calculator/>metapropertyog:url contenthttps://pablitron.com/>metapropertyog:image:width content1200 />metapropertyog:image:height content630/>meta namedescription contentPablitron is an interactive math exploration platform for discovering sequences, series, integer transforms, matrices, and number theory through real-time computation and visualization. />metapropertyog:type contentwebsite/>metanameviewport contentwidthdevice-width, initial-scale1>link hrefhttps://fonts.googleapis.com/css2?familyNoto+Sans+Symbols+2&displayswap relstylesheet>link relstylesheet hrefhttps://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/css/swiffy-slider.min.css>script srchttps://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/js/swiffy-slider.min.js defer>/script>linkrelstylesheet hrefhttps://prismjs.com/themes/prism.css>linkrelstylesheet hrefhttps://prismjs.com/plugins/line-numbers/prism-line-numbers.css>linkrelstylesheet hrefhttps://live.prismjs.com/prism-live.css>linkrelstylesheet hrefhttps://fonts.googleapis.com/css2?familyNunito+Sans:wght@100;300&displayswap>linkrelstylesheet hrefhttps://cdn.jsdelivr.net/npm/chosen-js@1/chosen.min.css>linkrelstylesheet hrefhttps://cdnjs.cloudflare.com/ajax/libs/toastr.js/latest/css/toastr.min.css>linkrelstylesheet hrefhttps://000706013.deployed.codepen.website/style.css>/head>body>link relpreconnect hrefhttps://fonts.googleapis.com>link relpreconnect hrefhttps://fonts.gstatic.com crossorigin>link hrefhttps://fonts.googleapis.com/css2?familyRoboto:ital,wght@0,100;0,300;0,400;0,500;0,700;0,900;1,100;1,300;1,400;1,500;1,700;1,900&displayswap relstylesheet>div idloadingPageOverlay classmask style/*0D0B0C*/display: block;position: fixed;height:100%;background-color: #0D0B0C; background-image: url(https://000706013.deployed.codepen.website/pablitron_logo.jpeg); background-repeat: no-repeat; background-position: center; background-size: contain;>span stylecolor:#FFF;position: relative;top: 1%;width: 100%;text-align: center;margin-top: 30px;> span istype-async idtype-text>Loading Pablitron.com v0.1.3/span> span classblinking-cursor>_/span> div classeyeLoader> div classeyePupil>/div> /div> h1 classloaderGallery> !--span>𝜋/span> span>φ/span> span>e/span>--> span>img srchttps://oeis.org/banner2021.jpg stylewidth: 38px; height: 50px; object-fit: cover; object-position: 0% 12px;/>/span> span>img srchttps://mathjs.org/css/img/mathjs_330x100.png width50px />/span> span>img srchttps://echarts.apache.org/en/images/favicon.png?_v_20200710_1 width50px />/span> span>img srchttps://www.mathjax.org/badge/mj-logo.svg width50px stylebackground-color:#FFF; />/span> !--span>img srchttps://prismjs.com/assets/logo.svg width50px />/span>--> !--span>img srchttps://www.easyprogramming.net/logo/jquery.png width50px />/span> /h1>-->/div>div idmask classmask>/div>div idpopup_listformula classpopupContainer popup_listFormula >/div>div idpopup_details classpopupContainer popup_details >/div>div idpopup_Advanced classpopupContainer popup_listFormula >/div>div idpopup_Histo classpopupContainer popup_Histo >/div>div idpopup_Options classpopupContainer popup_Options> span>Number precision : /span>span idlbl_Option-Precision classbold>500 digits/span> br/> input typerange min5 max998 value509 classslider idOption-Precision oninputUpdatePrecision(this.value);> button onclickµ.get(Option-Precision).value15;UpdatePrecision(15);>S/button>button onclickµ.get(Option-Precision).value50;UpdatePrecision(50);>L/button>button onclickµ.get(Option-Precision).value250;UpdatePrecision(250);>XL/button>button onclickµ.get(Option-Precision).value509;UpdatePrecision(509);>XXL/button> br/> span idlbl_Option-Precision-warning>i>⚠️ high precision, may slow down computation & display time/i>/span> BR/>BR/>span>formula font size : /span>span idlbl_Option-FormulaFontSize classbold>16 px/span>BR/> input typerange min5 max78 value16 classslider idOption-FormulaFontSize oninputUpdateFormulaFontSize(this.value);> button onclickµ.get(Option-FormulaFontSize).value8;UpdateFormulaFontSize(8);>XS/button>button onclickµ.get(Option-FormulaFontSize).value16;UpdateFormulaFontSize(16);>S/button>button onclickµ.get(Option-FormulaFontSize).value24;UpdateFormulaFontSize(24);>L/button>button onclickµ.get(Option-FormulaFontSize).value48;UpdateFormulaFontSize(48);>XL/button> BR/>BR/> span>default matrix/tables Columns x Rows displayed :/span>span idlbl_Option-MaxArrayItems classbold> 5x5/span>BR/> input typerange min3 max225 value5 classslider idOption-MaxArrayItems oninputUpdateMaxArrayItems(this.value);> button onclickµ.get(Option-MaxArrayItems).value5;UpdateMaxArrayItems(5);>S/button>button onclickµ.get(Option-MaxArrayItems).value10;UpdateMaxArrayItems(10);>L/button>button onclickµ.get(Option-MaxArrayItems).value20;UpdateMaxArrayItems(20);>XL/button> BR/>BR/> span>default Max decimal places shown : /span>span idlbl_Option-MaxDigitsDisplayed classbold>5/span>BR/> input typerange min1 max510 value5 classslider idOption-MaxDecimalPlaces oninputUpdateMaxDecimalPlaces(this.value);> button onclickµ.get(Option-MaxDecimalPlaces).value5;UpdateMaxDecimalPlaces(5);>S/button>button onclickµ.get(Option-MaxDecimalPlaces).value15;UpdateMaxDecimalPlaces(15);>L/button>button onclickµ.get(Option-MaxDecimalPlaces).value50;UpdateMaxDecimalPlaces(50);>XL/button> span idlbl_Option-MaxDigitsDisplayed-sample styleword-wrap: break-word;>(π3.14159...)/span> BR/>BR/> span>default Max List elements shown : /span>span idlbl_Option-MaxSequenceItemsDisplayed classbold>10/span>BR/> input typerange min10 max509 value10 classslider idOption-MaxSequenceItemsDisplayed oninputUpdateMaxSequenceItemsDisplayed(this.value);> button onclickµ.get(Option-MaxSequenceItemsDisplayed).value10;UpdateMaxSequenceItemsDisplayed(10);>S/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value20;UpdateMaxSequenceItemsDisplayed(20);>L/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value50;UpdateMaxSequenceItemsDisplayed(50);>XL/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value200;UpdateMaxSequenceItemsDisplayed(200);>XXL/button> span idlbl_Option-MaxSequenceItemsDisplayed-sample styleword-wrap: break-word;>{1,2,3,4,5,6,7,8,9,...,20}/span> BR/>BR/> span>Default boolean display :/span> select idOption-DisplayMatrixAsTable oninputUpdateDisplayMatrixAsTable(this.value);> option valueint>1 or 0/option> option valuebool selectedselected>true or false/option> /select> BR/>BR/> span>Default resultset display :/span> select idOption-DisplayMatrixAsTable oninputUpdateDisplayMatrixAsTable(this.value);> option valuelist>list/option> option valuetable selectedselected>table/option> /select> BR/>BR/> span>OEIS fraction match :/span>BR/>select idOption-OEISFraction onchangeRenderer.config.OEISMatching.OEISfractionthis.optionsthis.selectedIndex.id;>option id1>Numerator/option>option id2>Denominator/option>/select>BR/> BR/> !--div styledisplay:flex;> theme button idtheme-toggle classbtn btn-link btn-sm ml-2 small typebutton> span classd-block-light d-none>🌑/span> span classd-block-dark d-none>💡/span> /button> /div>--> !--button classToolMenuButton btn-compute onclickalert(nope... todo;));>💾 Save/button> button classToolMenuButton button-col-gray btn-compute onclickalert(nope... todo;));>💾 Load/button> button classToolMenuButton button-col-yellow btn-compute onclickalert(nope... todo;));>🗳 Import/button>--> !--button idshareButton classToolMenuButton button-col-yellow btn-compute >📂 Share/button>--> button classToolMenuButton button-col-blue btn-compute stylepadding: 0px; onclicknew storageManager().GetLocalStorageDetails();>💽 Storage/button>BR/> BR/> button stylefloat:right; onclickHidePopup(popup_Options);document.body.style.overflow visible;>Close/button>/div>div idpopup_Help class/*popupContainer*/ popup_Help> span>formula operators 🔎 /span>input idhelpSearch stylewidth:80px; oninput/*filterSuggest(help_operators,this.value);*/ autocompleteoff>/input >button stylefloat:right; onclickHidePopup(popup_Help);document.body.style.overflow visible;>Close/button>BR/> div idhelp_operators classcommandclassification>/div>!--BR/> span>commands details/span>BR/> div idhelp_commands>/div>BR/> BR/>--> /div> div idpopup_PablitronHelper class/*popupContainer*/ popup_PablitronHelper> button stylewidth:100%; onclickHidePopup(popup_PablitronHelper);stopAllYouTubeVideos();document.body.style.overflow visible;>Close/button>BR/> div idPablitronHelper-CommandDetails classmarkdownContent scrollableContent>/div> /div>div idpopup_editRecursive classpopupContainer popup_editRecursive > button stylefloat: right; right: 25px; position: relative; top: 6px;z-index:20000; onclickHidePopup(popup_editRecursive);document.body.style.overflow visible;>X/button> textarea idCodeContent classprism-live language-js fill style--max-height: 30em spellcheckfalse onChangeUpdateJSCode();>function f(n) { var fibArr , i math.bignumber(0), j math.bignumber(1); fibArr.push(i); fibArr.push(j); while (fibArr.length n) { fibArr.push(math.add(fibArrj,fibArri)); j++; i++; } return fibArr;};/textarea>/div>div idMainMenu classMainMenu>span classno-text-selection MenuIcon>div classcube-container> div idCubeLoader classcube> figure classfront>👁/figure> figure classback>P/figure> figure classright>B/figure> figure classleft>A/figure> figure classtop>L/figure> figure classbottom>I/figure> /div>/div>!--🧪-->/span>span classno-text-selection MainTitle>b>P/b>ablitron.com - i>v0.1.3 beta/i>/span>span idMainMenuButton classno-text-selection MainMenuIcon onclickµ.get(mainMenuLinks).style.displayblock?µ.get(mainMenuLinks).style.display none:µ.get(mainMenuLinks).style.display block> ⠇/span>/div> div idmainMenuLinks> a href#FormulaList onclickshowPopup(popup_listformula);/*$(#filterFormulaList).focus();*/µ.get(mainMenuLinks).style.display none;>📚 Formula quickbooks/a> a href#InputHistory onclickshowPopup(popup_Histo);/*$(#filterHistoList).focus();*/µ.get(mainMenuLinks).style.display none;>📜 My inputs history ( span idLogsFormula>/span> )/a> a href#ClearScreen onclickClearScreen();>♻ Clear screen/a> !--a href#SaveFormulaPicture onclickSaveFormulaAsPicture();>📷 Save formula as picture/a>--> a href#Sharethis onclickSharePablitron();>📂 Share this Pablitron 👁/a> a href#options onclickDisplayOptions();>🛠️ Options/a> a idtheme-toggle href#SwitchTheme>span classd-block-light d-none>🌑/span> span classd-block-dark d-none>💡/span> Switch Theme/a> a href#about onclickDisplayHelp();>❔ Help/a> /div> div idFormulaParameters classBox_highlight overCalc> !--textarea idformula classprism-live langage-js fill overCalc style--max-height: 30em languagenb onfocusshowCalculator(); onblurhideCalculator();>/textarea>span idformulaHighligths styledisplay:none;>/span>--> div idmathField-wrapper stylewidth: 100%> /div> table stylewidth:100% classoverCalc> tr stylemax-width: calc(100vw - 67px);> td width0px> !--span classno-text-selection>Fsub>n/sub>/span>--> /td> /tr> tr> td width30px>span idformulaLabel classno-text-selection>⨍sub>(n)/sub>/span>/td> td> div idTexViewerFormulaContainer classTexViewerFormulaContainer> !--math-field idmathQuill stylez-index:2;position:relative; font-size:15px;min-width:100%>/math-field> math-field idmathKeyboard styledisplay:none;visibility:hidden;>/math-field>--> span idTexViewerFormula classTexViewer >/span> /div> /td>/tr>/table> div idformulaWrapperContainer classoverCalc> div idformulaWrapper classoverCalc>span idformulaHighligths stylewhite-space: pre;>type a formula or an integer/span>input idformula classinputBoxFormula spellcheckfalse typetext stylewidth:100%; placeholdertype a formula or an integer valuen onclick/*setCaret(event);showCalculator();*/ onfocus/*blur();*/showCalculator(); onblurhideCalculator(); autocompleteoff />/div> div idcalcbuttons width100% classCalculatorButtonsContainer virtualKeyboard> !--button classsmalBut button-col-gray op7 onclicksetOperator(this); classsmalBut>7 /button> button classsmalBut button-col-gray op8 onclicksetOperator(this); classsmalBut>8 /button> button classsmalBut button-col-gray op9 onclicksetOperator(this); classsmalBut>9 /button> button op* onclicksetOperator(this); classsmalBut>*/button> button op( onclicksetOperator(this); offset classsmalBut>(span op classoptBut offset>/span>/button> button op) onclicksetOperator(this); classsmalBut offset>)span op classoptBut offset>/span>/button> button opchose_adv onclicksetOperator(this); classbutton-col-orange smalBut>➕span classmoreBut>⋯/span>/button> button opcreate_matrix onclicksetOperator(this); classbutton-col-blue smalBut>🔢span classmoreBut>⋯/span>/button>--> !--➕▼--> !--p classbreaker advBut>/p> button opsimplify offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Simplify/button> button opderivative offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Derivative/button> button opwolfram offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Wolfram/button>--> button opsimplify offset-1 onclicksetOperator(this); classbutton-col-blue smalBut>Simpfy/button> button opderivative offset-1 onclicksetOperator(this); classbutton-col-blue smalBut>⨍/button> button opwolfram offset-1 onclicksetOperator(this); classbutton-col-blue smalBut stylecursor: alias;>svg stylewidth:100%; max-width:32px;margin-top:5px; viewBox0 0 20 20>path classmainColor dM15.33 10l2.17-2.47-3.19-.71.33-3.29-3 1.33L10 2 8.35 4.86l-3-1.33.32 3.29-3.17.71L4.67 10 2.5 12.47l3.19.71-.33 3.29 3-1.33L10 18l1.65-2.86 3 1.33-.32-3.29 3.19-.71zm-2.83 1.5h-5v-1h5zm0-2h-5v-1h5z fill#777>/path>/svg>!--img srchttps://www.wolframalpha.com/_next/static/images/favicon_1zbE9hjk.ico stylewidth:100%; max-width:32px;margin-top:5px;/>-->/button> button opcreate_matrix onclicksetOperator(this); classbutton-col-gray smalBut>🔢span classmoreBut>⋯/span>/button> button oppaste classsmalBut button-col-gray onclicksetOperator(this);>📋/button> button op onclicksetOperator(this); classbutton-col-gray smalBut></button> button op> onclicksetOperator(this); classbutton-col-gray smalBut>>/button> button opdelete onclicksetOperator(this); classbutton-col-gray smalBut>❌/button> button opvalidate onclickhideCalculator(true);setTimeout(()>{ApplyFormula();},500); classbutton-col-orange smalBut>↲/button> div idAutoSuggest classAutoSuggest> /div> !--button op* onclicksetOperator(this); classsmalBut>*/button>--> !--button op( onclicksetOperator(this); offset classsmalBut>(span op classoptBut offset>/span>/button>--> !--button op) onclicksetOperator(this); classsmalBut offset>)span op classoptBut offset>/span>/button>--> !--button opchose_adv onclicksetOperator(this); classbutton-col-orange smalBut>➕span classmoreBut>⋯/span>/button> --> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x1 onclicksetOperator(this); classbutton-col-blue matrixBut>2x1/button> button opcreateMatrix offset-1 dim3x1 onclicksetOperator(this); classbutton-col-blue matrixBut>3x1/button> button opcreateMatrix offset-1 dim4x1 onclicksetOperator(this); classbutton-col-blue matrixBut>4x1/button> button opcreateMatrix offset-1 dim5x1 onclicksetOperator(this); classbutton-col-blue matrixBut>5x1/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x2 onclicksetOperator(this); classbutton-col-blue matrixBut>2x2/button> button opcreateMatrix offset-1 dim3x2 onclicksetOperator(this); classbutton-col-blue matrixBut>3x2/button> button opcreateMatrix offset-1 dim4x2 onclicksetOperator(this); classbutton-col-blue matrixBut>4x2/button> button opcreateMatrix offset-1 dim5x2 onclicksetOperator(this); classbutton-col-blue matrixBut>5x2/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x3 onclicksetOperator(this); classbutton-col-blue matrixBut>2x3/button> button opcreateMatrix offset-1 dim3x3 onclicksetOperator(this); classbutton-col-blue matrixBut>3x3/button> button opcreateMatrix offset-1 dim4x3 onclicksetOperator(this); classbutton-col-blue matrixBut>4x3/button> button opcreateMatrix offset-1 dim5x3 onclicksetOperator(this); classbutton-col-blue matrixBut>5x3/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x4 onclicksetOperator(this); classbutton-col-blue matrixBut>2x4/button> button opcreateMatrix offset-1 dim3x4 onclicksetOperator(this); classbutton-col-blue matrixBut>3x4/button> button opcreateMatrix offset-1 dim4x4 onclicksetOperator(this); classbutton-col-blue matrixBut>4x4/button> button opcreateMatrix offset-1 dim5x4 onclicksetOperator(this); classbutton-col-blue matrixBut>5x4/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x5 onclicksetOperator(this); classbutton-col-blue matrixBut>2x5/button> button opcreateMatrix offset-1 dim3x5 onclicksetOperator(this); classbutton-col-blue matrixBut>3x5/button> button opcreateMatrix offset-1 dim4x5 onclicksetOperator(this); classbutton-col-blue matrixBut>4x5/button> button opcreateMatrix offset-1 dim5x5 onclicksetOperator(this); classbutton-col-blue matrixBut>5x5/button> p classbreaker>/p> !--button classsmalBut button-col-gray op4 onclicksetOperator(this);>4 /button> button classsmalBut button-col-gray op5 onclicksetOperator(this);>5 /button> button classsmalBut button-col-gray op6 onclicksetOperator(this);>6 /button> button op+ onclicksetOperator(this); classsmalBut>+/button> button opn onclicksetOperator(this); classsmalBut offset>𝓃span opx classoptBut offset>𝓍/span>/button> button op^() offset-1 onclicksetOperator(this); classsmalBut>asup>(▢)/sup>span opsqrt() offset-1 classoptBut optButSqrt>√span styletext-decoration:overline>(▢)/span>/span>/button> button opcbrt() offset-1 onclicksetOperator(this); classsmalBut>∛span styletext-decoration:overline>(▢)/span>/button> button oplog() offset-1 onclicksetOperator(this); classsmalBut>ln(▢)span oplog10() offset-1 classoptBut optButLog>log(▢)/span>/button> button opchose_ceil offset-1 onclicksetOperator(this); classsmalBut>⌊▢⌉span classmoreBut>⋯/span>/button> p classbreaker>/p> button opround() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>round(▢)/button> button opceil() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>ceil(▢)/button> button opfloor() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>floor(▢)/button> button opfrac() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>frac(▢)/button> p classbreaker>/p> button classsmalBut button-col-gray op1 onclicksetOperator(this);>1 /button> button classsmalBut button-col-gray op2 onclicksetOperator(this);>2 /button> button classsmalBut button-col-gray op3 onclicksetOperator(this);>3 /button> button op- onclicksetOperator(this); classsmalBut>-/button> button opj offset onclicksetOperator(this); classsmalBut>𝒿span opy classoptBut offset>𝓎/span>/button> button opabs() offset-1 onclicksetOperator(this); classsmalBut>|▢|/button> button opchose_sin onclicksetOperator(this); classsmalBut>∡span classmoreBut>⋯/span>/button> button opchose_fplus onclicksetOperator(this); classsmalBut>⨍▢span classmoreBut>⋯/span>/button> button opchose_const onclicksetOperator(this); classsmalBut>ζ,𝛄span classmoreBut>⋯/span>/button> p classbreaker>/p> button opcos() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>cos(▢)/button> button opcosh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>cosh(▢)/button> button opacos() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acos(▢)/button> button opacosh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acosh(▢)/button> p classbreaker sinBut>/p> button opsin() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sin(▢)/button> button opsinh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sinh(▢)/button> button opasin() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asin(▢)/button> button opasinh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asinh(▢)/button> p classbreaker sinBut>/p> button optan() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>tan(▢)/button> button optanh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>tanh(▢)/button> button opatan() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>atan(▢)/button> button opatanh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>atanh(▢)/button> p classbreaker sinBut>/p> button opcot() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut >cot(▢)/button> button opcoth() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>coth(▢)/button> button opacot() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acot(▢)/button> button opacoth() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acoth(▢)/button> p classbreaker sinBut>/p> button opcsc() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>csc(▢)/button> button opcsch() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>csch(▢)/button> button opacsc() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acsc(▢)/button> button opacsch() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acsch(▢)/button> p classbreaker sinBut>/p> button opsec() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sec(▢)/button> button opsech() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sech(▢)/button> button opasec() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asec(▢)/button> button opasech() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asech(▢)/button> p classbreaker sinBut>/p> p classbreaker fplusBut>/p> button opfib() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>fib(▢)/button> button opcollatz offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>collatz▢/button> button opclzft offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>clzft▢/button> button opnpartitions offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>npartitions▢/button> p classbreaker fplusBut>/p> button opdivisors() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>0/sub>(▢)/button> button opsigma() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>1/sub>(▢)/button> button opsigmam() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>-1/sub>(▢)/button> button opbinomial(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Binomial(▢,▢)/button> p classbreaker fplusBut>/p> button opeulerian(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Eulerian(▢,▢)/button> button opstirling(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Stirling(▢,▢)/button> button opstirling2(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Stirling2(▢,▢)/button> p classbreaker fplusBut>/p> button optotient() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Totient(▢)/button> button opgcd(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>gcd(▢,▢)/button> button oplcm(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>lcm(▢,▢)/button> p classbreaker fplusBut>/p> button opnarayana(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>narayana(▢,▢)/button> button opdelannoy(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>delannoy(▢,▢)/button> button opmotzkin() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>motzkin(▢)/button> p classbreaker fplusBut>/p> button opworpitzky(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>worpitzky(▢,▢)/button> button opharmonic() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>harmonic(▢)/button> button opalterharmonic() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>alterharmonic(▢)/button> button opzeta() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>zeta(▢)/button> p classbreaker fconstBut>/p> button opeulergamma offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛄 Euler-Mascheroni/button> button opfeigenbaum offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿 Feigenbaum/button> p classbreaker fconstBut>/p> button opphi offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝜑 Golden ratio/button> button opsupergolden offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>ψ SuperGolden ratio/button> button opsilverratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿sub>s/sub> Silver ratio/button> button opbronzeratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿sub>b/sub> Bronze ratio/button> button opsupersilver offset0 onclicksetOperator(this); classbutton-col-gray fconstBut> ς SuperSilver ratio/button> button opplasticratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>ρ Plastic ratio/button> p classbreaker>/p> button classsmalBut op. onclicksetOperator(this); stylepadding-left:4px; offset>.span op, classoptBut offset>,/span>/button>--> !--mod --> !--button classsmalBut button-col-gray op0 onclicksetOperator(this);>0 /button> button op% onclicksetOperator(this); classsmalBut offset>%span op! classoptBut offset>!/span>/button> button op/ onclicksetOperator(this); classsmalBut>//button> button opk onclicksetOperator(this); classsmalBut offset>𝓀span opz classoptBut offset>𝓏/span>/button> button op| onclicksetOperator(this); classbutton-col-blue smalBut>b>⇤/b>/button> button op>| onclicksetOperator(this); classbutton-col-blue smalBut>b>⇥/b>/button> button opcut classsmalBut button-col-blue onclicksetOperator(this);>✂/button> button oppaste classsmalBut button-col-blue onclicksetOperator(this);>📋/button> p classbreaker>/p> button oppi onclicksetOperator(this); classbutton-col-blue smalBut>abc/button>--> !--𝜋--> !--button opswitchKey onclicksetOperator(this); classbutton-col-blue smalBut>⇄/button>--> !--𝜏--> !--button oppi onclicksetOperator(this); classsmalBut offset>𝜋span optau classoptBut offset>𝜏/span>/button> button ope onclicksetOperator(this); classsmalBut offset>espan opphi classoptBut offset>φ/span>/button> button opp() onclicksetOperator(this); classsmalBut stylepadding-left: 4px; offset-1>p(▢)/button> button op onclicksetOperator(this); classbutton-col-blue smalBut></button> button op> onclicksetOperator(this); classbutton-col-blue smalBut>>/button> button operase onclicksetOperator(this); classbutton-col-blue smalBut>⌫/button> button opvalidate onclickhideCalculator(true);setTimeout(()>{ApplyFormula();},500); classbutton-col-blue smalBut>↲/button>-->/div> /div>div idSymbol-selector classSymbol-selector styledisplay:none;> /div>/div>!--button idhideShowFormula stylefloat:right onclick$(#FormulaParameters).toggle();$(#BTN_ComputeFormula).toggle();$(#BTN_ComputeFormula_details).toggle();$(#hideShowFormula).toggleClass(button-silver-activated);µ.getContent(hideShowFormula).startsWith(Hide)?µ.setContent(hideShowFormula,Show ▼):µ.setContent(hideShowFormula,Hide ▲);>Hide ▲/button>-->div idToolParameters stylebackground:#EEE; padding:3px; margin: 2px;display:none;> span idLBL_PascalTriangle classno-text-selection>Draw triangle until /span> input idToolMin typenumber value20 stylewidth:40px />/div>button idBTN_ComputeFormula onclickApplyFormula(); classbutton-col-orange btn-compute>span idBTN_ComputeFormula_lbl>Evaluate Fsub>n/sub>/span>/button> div idShowDetails-panel styledisplay:contents>input idBTN_ComputeFormula_details typecheckbox>Show details/input>input idBTN_ComputeFormula_fraction typecheckbox>Real as fraction/input>/div> div idOEISGuessSequenceLoader classlds-facebook styledisplay:none;>/div>progress idpb_formulaProgress styledisplay:none>/progress>button idstopFormulaComputation classbutton-col-red styledisplay:none; onclickFormulaComputed(ApplyFormula_buffer);>Stop/button>BR />BR />div idresultPanel styledisplay:none;> div idtransformHistory data-StackContent0>/div> !-- empty section formatdiv classsection> div classTitleBar> span classcmdBarTitle>Values/span> /div> div classsection-content> /div> div width100% classCommandBar > /div>/div> --> div classsection> div idTitleBar classTitleBar> span idcmdBarTitle classcmdBarTitle>Values/span> /div> div classsection-content> div idTexViewerResultsContainer classTexViewerFormulaContainer wideResultsContainer styledisplay:none;> span idTexViewerResults classTexViewer stylemax-width:99%;width:99%; display: block; >/span> /div> textarea idTextareaResults rows4 nametext stylewidth:100%;display:block; onkeyupUpdateOEISSearch(event,);updateTexViewerResults(); placeholderEvaluate a formula or, type your integer sequence here>/textarea> /div>div idCommandBar classCommandBar > button idCmdBar-ToggleListTable onclickToggleListTableView();>list view/button> button idCmdBar-MoreDigits onclickAddMoreDigitsInView();>more decimals/button> button idCmdBar-MoreItems onclickAddMoreItemsInView();>expand list/button> button idCmdBar-MoreMatrix onclickAddMoreMatrixItemsInView();>expand matrix/button> button onclickToggleRAW(this);>raw data/button> /div>/div> div classsubsections Hide>/div> div width100% classSequenceInfoZone styledisplay:none;>span idSequenceGuessedName>/span> !--button idtoolsDisplayer stylefloat:right onclick$(#DisplayToolsPopup).toggleClass(popOut-Right);$(#toolsDisplayer).toggleClass(button-silver-activated);>Tools ▼/button> div idDisplayToolsPopup classpop> table> tr> td>button onclickµ.setValue(TextareaResults,);µ.setValue(formula,n);µ.setContent(SequenceGuessedName,);µ.setContent(resultSpan,);µ.hide(selectionMode);µ.click(toolsDisplayer)>Clear/button>/td> /tr> tr> td>/td> /tr> /table> /div>--> /div>/div>div classtoolbarContainerstyledisplay:none;> div idToolsMenu classtoolbar styledisplay:none; >button idTool1 classLargeBtn onclickTool_BTN_Inspect_Click();>big>🔍/big> Inspect/button>button idTool2 classLargeBtn onclickTool_BTN_Plot_Click();>big>📉/big> Plot/button>button idTool3 classLargeBtn onclickTool_BTN_Transform_Click();>big>🔀/big>Transform/button>!--button classLargeBtn>big>💾/big>BR/> Options/button>/div>-->/div> div idToolChoice classtoolChoice flex-container styledisplay:none;> div classTool1 ToolBtn>big>🧬/big>BR/> Sequence analysis/div> div classTool1 ToolBtn>big>🧮/big>BR/> Terms analysis/div> div classTool1 ToolBtn>big>👓/big>BR/> Visual filter/div> div classTool1 ToolBtn>big>🧱/big>BR/> Terms prime factorization/div> div classTool1 ToolBtn>big>🧪/big>BR/> Search connected sequences/div> div classTool2 ToolBtn>big>📊/big>BR/> Bar chart/div> div classTool2 ToolBtn>big>📉/big>BR/> Scatter chart/div> div classTool2 ToolBtn>big>📈/big>BR/> Area chart/div> div classTool2 ToolBtn>big>✴/big>BR/> Polar chart/div> div classTool2 ToolBtn>big>📈/big>BR/> Benfords law/div> div classTool2 ToolBtn>big>➾/big>BR/> Transform chart/div> div classTool2 ToolBtn>big>➗/big>BR/> Continued fraction convergence/div> div classTool2 ToolBtn>big>⇝/big>BR/> Ratio between terms/div> div classTool2 ToolBtn>big>⇄/big>BR/> Path chart/div> div classTool2 ToolBtn>big>☱/big>BR/> Binary view/div> div classTool2 ToolBtn>big>🔄/big>BR/> Modular view/div> div classTool2 ToolBtn>big>🌌/big>BR/> Ulam spiral/div> div classTool2 ToolBtn>big>🌌/big>BR/> Sacks spiral/div> /div> /div>BR />div idOptionsWrapper classOptionsWrapper styledisplay:none;> div classtabpage> input typeradio idtab1 nametab checked valueInspect onclickTool_BTN_Inspect_Click();> label fortab1 classno-text-selection>🔍 Inspect/label> input typeradio idtab2 nametab valueplot onclickTool_BTN_Plot_Click();> label fortab2 classno-text-selection>📈 Chart/label> input typeradio idtab3 nametab valuetransform onclickTool_BTN_Transform_Click();> label fortab3 classno-text-selection styleborder-radius: 0px 3px;>🔢 transform/label> !--input typeradio idtab4 nametab onclickµ.setContent(hints,knowhow.getDef(Options)+ +knowhow.getDef(Tools));> label fortab4 styleborder-radius: 0px 3px; classno-text-selection>i classfa fa-share-alt>/i> 💾 Options/label>--> div classline>/div> div classcontent-container> div classcontent idc1> div styledisplay:flex;>Inspect: select idinspectType onchangeadaptOptionsInspect();> option valueDetails>sequence properties/option> option valueSumTerms>sum sequence terms/option> !--option valueGraph>sequence graphs/option> option valueAdvGraph>special graphs/option>--> option valueGridDisplay>sequence grid display/option> option valuePrimFact>prime factorization/option> option valuetransformInspector>transform detail/option> option valueAutoExplorer>automatic explorer/option> option valuemiscellaneous>miscellaneous tools/option> /select> /div> div idAutoExplorerOptions classBox_highlight> input idDetails-AutoExplorerMaxChild typenumber value3 stylewidth:40px />span> max child exploration/span> /div> div idDetails-showAbundantDetail classBox_highlight styledisplay:none;> input typecheckbox idDetails-showAsTable checked>Show result as table / or list /input> input typecheckbox idDetails-showAbundantDetailDo checked>Show/compute abundant number up to/input> select idDetails-showAbundantDetailVal> option value2>2 divisors/option> option value5>5 divisors/option> option value10>10 divisors/option> option value20>20 divisors/option> option value10000000 selected>all divisors/option> /select> /div> div idAutoExplorerOptions_2 classBox_highlight> select data-placeholderChoose transforms ... classchosen-select multiple idAutoExplorerTransformSelect width300px> option valuePartialSum>Partial Sum/option> option valueRiordanArray>Riordan Array/option> option valueInvBinomial>Inverse Binomial/option> option valueFiniteDiff-FD>Finite Difference - first diagonal/option> option valueFiniteDiff-FR>Finite Difference - first row/option> option valueFiniteDiff-SR>Finite Difference - second row/option> option valueFiniteDiff-TR>Finite Difference - third row/option> option valuePairSum-FD>Pair Sum - first diagonal/option> option valuePairSum-FR>Pair Sum - first row/option> /select> /div> div idAdvancedGraph_Options classBox_highlight> input typecheckbox idAdvancedGraph_Options_ColoredBin checked>Colored Binary Words /input> input typecheckbox idAdvancedGraph_Options_ReverseWords>Reverse Words /input> input idAdvancedGraph_Options_ItemsByRow typenumber value150 stylewidth:40px />span> elements by row/span> /div> div idAdvancedGraph_Options_ModularGraph classBox_highlight> input typecheckbox idAdvancedGraph_Options_ColoredModular checked>Colored Modular Graph /input> /div> div idGridDisplayOptions_0 classBox_highlight> input typecheckbox idDetails-BaseGridDisplay checked>Grid display with /input>input idDetails-GridRowWidth typenumber value16 stylewidth:40px />span> max elements by row/span> /div> div idGridDisplayOptions classBox_highlight> input idBaseConvertChoice typecheckbox> Base convert /input> select idconvBase> option value2>2 (Binary)/option> option value3>3/option> option value4>4/option> option value4D>4 (DNA)/option> option value4R>4 (RNA)/option> option value5>5/option> option value6>6/option> option value7>7/option> option value8>8 (Octal)/option> option value9>9/option> option value11>11/option> option value12>12/option> option value13>13/option> option value14>14/option> option value15>15/option> option value16>16 (Hexa)/option> option value17>17/option> option value18>18/option> option value19>19/option> option value20>20/option> option value20K>20 (Kaktovik)/option> option value20M>20 (Mayan)/option> option value21>21/option> option value22>23/option> option value24>24/option> option value25>25/option> option value26>26/option> option value27>27/option> option value28>28/option> option value29>29/option> option value30>30/option> option value31>31/option> option value32>32/option> option value33>33/option> option value34>34/option> option value35>35/option> option value36>36/option> option value42>42 (euler prime formula n^2-n+41)/option> option value60>60 (Sumerian/Babylonian base)/option> option value119>119 (118 known chemical elements)/option> option value137>137 (1/fine structure constant)/option> option value138>138 (1/fine structure constant +1)/option> option value139>139 (bohrs 138 chemical elements limit)/option> option value172>172 (theorical extended periodic table -1 Element)/option> option value173>173 (172 theorical extended periodic table)/option> /select> /div> div idInspectorList classBox_highlight> select idtransformInspectorList onchangeadaptOptionsInspect();> option valueSum>Sum terms/option> option valueSub>Finite difference/option> option valueWall>Number Wall/option> option valueEulerM>Euler Machine/option> option valueCarrL>P.Carranza L transform/option> option valueInterPS>Interlaced Pair Sum/option> option valueTetra>Tetrahedral/option> option valueBoustro>Boustrophedon/option> /select> /div> div idtransform-sum-opCount classBox_highlight styledisplay: inline-flex;>span classno-text-selection> each/span> input idoperationCount-sum-detail typenumber value2 min2 max1000 stylewidth:40px>span classno-text-selection> terms/span> /div> div idtransform-bou-maxRow classBox_highlight styledisplay:none;>span classno-text-selection>until/span> input idmaxRowCount-bou typenumber value10 min1 max100 stylewidth:40px>span classno-text-selection> rows/span> /div> div idmiscellaneous-inspect-options classBox_highlight styledisplay:none;>span classno-text-selection>select tool/span> select idmiscellaneous-inspect-options-tool> option valuePascal>Draw Pascal triangle/option> option valueBell>Draw Bell triangle/option> option valueBou>Draw Boustrophedon triangle/option> option valueCatalan>Draw Catalans triangle/option> option valueFloyd>Draw Floyds triangle/option> option valueHosoya>Draw Hosoyas triangle/option> option valueEulerian>Draw Eulerians triangle/option> option valueNarayana>Draw Narayanas triangle/option> option valuePow>Draw Power table/option> /select> /div> div idmiscellaneous-inspect-options-tool-maxRow classBox_highlight styledisplay:none;>span classno-text-selection>show /span> input idmiscellaneous-inspect-options-tool-maxRowCount typenumber value11 min1 max1000 stylewidth:50px>span classno-text-selection> first rows/span> /div> /div> div classcontent idc2> div styledisplay:flex;> Chart type: select idchartType onchangeadaptOptionsChart();> option valueGraph>sequence graphs/option> option valueAdvGraph>special graphs/option> /select> /div> /div> div classcontent idc3> div styledisplay:flex;> !--input typeradio idchosenOperationTransform namechosenOperation onclickadaptOptions(); valuetransform>-->Apply transform: select idtransformType onchangeadaptOptionsTransform();> option valueNumbDigits>number of digits/option> option valueRem0>Remove 0s in sequence/option> option valueInvSign>Invert Sign (*-1)/option> option valueAltSign>Alternate Sign :i*2-1(*-1)/option> option valueAbsSign>Absolute value | n |/option> option valueReverse>Reverse sequence n::-1/option> option valueSumT>Sum terms/option> option valuePartSum>Partial sum/option> option valueInclSum>Riordan array/option> option valueSubT>Finite difference/option> option valueTetraT>Tetrahedral/option> option valueBino>Inverse binomial/option> option valueBou>Boustrophedon/option> option valueLaplace>Laplace/option> option valueLagrange>Lagrange inversion/option> option valuetr-DG>Digital root/option> option valuetr-DS>Digit sum/option> option valuetr-AP>Additive persistence/option> option valuetr-MR>Multiplicative root/option> option valuetr-MP>Multiplicative persistence/option> option valuetr-ND>Numeric difference/option> option valuetr-RP>Reciprocal period/option> option valuetr-RV>Reciprocal period value/option> !--option valueTetraDiff>Tetrahedral Diff/option>--> option valuecustom>Custom function/option> option valueCtdFract>Continued fraction of real/option> option valueCtdFractToReal>real from seq. as Cont fract/option> option valuedecExp>decimal expansion of real/option> option valueCO>Count occurence/option> /select> /div> div idtransform-customFunction classBox_highlight styledisplay:flex;width:100%>span classno-text-selection> Custom formula/span>input idcustomFunction-content typetext autocompleteoff placeholderwrite a formula , ex: n^2 stylewidth:100%>/div> div idtransform-sum classBox_highlight styledisplay:flex;>span classno-text-selection> each/span> input idoperationCount-sum typenumber value2 min2 max1000 stylewidth:40px>span classno-text-selection> terms/span> /div> div idtransform-option-choice classBox_highlight styledisplay:flex;> result is select idtransform-result-show> option valueFD selected>1st diagonal/option> option valueSD>2nd diagonal/option> option valueFR>1st row/option> option valueSR>2nd row/option> /select> /div> div idtransform-bou classBox_highlight styledisplay:none;>span classno-text-selection>until/span> input idoperationCount-bou typenumber value10 min1 max100 stylewidth:40px>span classno-text-selection> terms/span> /div> /div> div classcontent idc4> /div>button idBTN_Tool onclickCompute(); classbutton-col-orange btn-compute snapBottom>span>Calculate/span> div idDoItLoader classlds-facebook styledisplay:none;> div>/div> div>/div> div>/div> /div> /button> button idoptionDisplayer classsnapBottom styleleft:80px;>span stylepadding:0px 4px;>🛠 Numbers format ▼/span>/button> /div> /div> div idOperactionChoices classChoiceMenu> div idhints classhints> /div> button classhintscloseButton typebutton onclickµ.setContent(hints,)> span aria-hiddentrue>i classfa fa-window-close>X/i>/span> /button> !--div>input idchosenOperationSubForward typeradio namechosenOperation valueSub onclickadaptOptions();>b classno-text-selection>Finite difference/b>/div>--> !--div>input idchosenOperationDetails typeradio namechosenOperation valueDetails onclickadaptOptions();>b classno-text-selection >Sequence details/b>/div>--> !--div>input idchosenOperationPlotting typeradio namechosenOperation valuePlot onclickadaptOptions();>b classno-text-selection>Graphs/b>/div>--> !--div>input idchosenOperationConv typeradio namechosenOperation valueConv onclickadaptOptions();>b classno-text-selection>Grid Diplay /b>/div>--> /div> div idDisplayOptionsPopup classpop> table> tr> td>input typecheckbox idPrettyPrint checkedchecked>Pretty Print/input>/td> td>digital root base select iddgBase> option value2>2/option> option value3>3/option> option value4>4/option> option value5>5/option> option value6>6/option> option value7>7/option> option value8>8/option> option value9>9/option> option selected value10>10/option> option value11>11/option> option value13>13/option> option value19>19/option> option value21>21/option> option value25>25/option> option value31>31/option> option value43>43/option> option value61>61/option> option value91>91/option> option value121>121/option> /select>/td> /tr> tr> td>input typecheckbox idPrettyPrint-InfoPlus checkedchecked>Additional number info/input> td>select idPrettyPrint-InfoPlus-Choice> option valueoddEven>modulo/option> option valuedgRoot selected>Digital root/option> option valuedgSum>Digital sum/option> option valueaddPers>Additive persistence/option> option valuemultRoot>Multiplicative root/option> option valuemultPers>Multiplicative persistence/option> option valuenumDiff>Numeric Difference/option> option valuerecPeriod>Reciprocal period/option> option valueeulerTotient>Euler Totient/option> /select>/td> /td> /tr> tr> td>input typecheckbox idPrettyPrint-oddeven checkedchecked>colorize odd/Even/input>/td> td idsampleOddEven>/td> /tr> tr> td>input typecheckbox idPrettyPrint-Primes checkedchecked>Highlight primes/input>/td> td idsamplePrime>/td> /tr> tr> td>input typecheckbox idPrettyPrint-dg checkedchecked>colorize digit root/input>/td> td idsampleDigitRoot>/td> /tr> tr> td colspan2>input typecheckbox idPrettyPrint-useDGcolor>colorize numbers with digit root color/input>/td> td>/td> /tr> tr> td colspan2> input typecheckbox idPrettyPrint-hideNumbers>No numbers/input>input idRoundShape typeradio nameshapeSelector checkedchecked>Round shape/input>input idSquareShape typeradio nameshapeSelector>Square shape/input> /td> td> /td> /tr> tr> td colspan2> input typecheckbox idPrettyPrint-onlyDigitRoot>Show only number additional information/input> /td> td> /td> /tr> /table> /div> BR /> span idselectionMode styledisplay:none;>Inspector:button idselectionMode_None classbutton-3d button-black button-black-activated toolbar-button toolbar-button-first onclickSelectionMode(0); titleNone>span> div>⨯/div> /span>/button>button idselectionMode_Horizontal classbutton-3d button-black toolbar-button toolbar-button-middle onclickSelectionMode(1); titleHorizontal>span> div>⇿/div> /span>/button>button idselectionMode_Diagonal classbutton-3d button-black toolbar-button toolbar-button-middle onclickSelectionMode(2); titleDiagonal left to right>span> div>⇘/div> /span>/button>button idselectionMode_DiagonalRevert classbutton-3d button-black toolbar-button toolbar-button-end onclickSelectionMode(3); titleDiagonal right to left>span> div>⇙/div> /span>/button> /span> button tabindex0 rolebutton idshareButton classbutton-3d button-black title data-togglemodal data-target#shareModal data-placementbottom data-contentClick to share this unique pattern data-triggerfocus stylevisibility:hidden;display:none;> span>i classfa fa-share>/i> Share/span> /button>/div>a idsearchLink hrefhttps://oeis.org/search?q&sortcreated target_blank styledisplay:none;z-index:10>Search the sequence in oeis.org/a>div>BR />span idresultSpan>/span>/div>BR />BR />BR />BR /> script srchttps://unpkg.com/mathjs@14.6.0/lib/browser/math.js>/script> script srchttps://code.jquery.com/jquery-3.6.0.min.js>/script> script srchttps://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?featureses6>/script> script srchttps://cdn.jsdelivr.net/npm/mathjax-full@3.2.2/es5/tex-mml-chtml.js>/script> script srchttps://prismjs.com/prism.js>/script> script srchttps://prismjs.com/plugins/line-numbers/prism-line-numbers.js>/script> script srchttps://live.prismjs.com/src/prism-live.js>/script> script srchttps://live.prismjs.com/src/prism-live-markup.js>/script> script srchttps://live.prismjs.com/src/prism-live-css.js>/script> script srchttps://cdn.jsdelivr.net/npm/echarts@5.3.2/dist/echarts.min.js>/script> script srchttps://echarts.apache.org/en/js/vendors/echarts-gl/dist/echarts-gl.min.js>/script> script 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HTTP/1.1 200 OKDate: Mon, 02 Feb 2026 02:48:53 GMTContent-Type: text/html; charsetutf-8Transfer-Encoding: chunkedConnection: keep-aliveNel: {report_to:cf-nel,success_fraction:0.0,max_age:604800}Accept-Ranges: bytesAccess-Control-Allow-Origin: *Cache-Control: no-cache, must-revalidateLast-Modified: Thu, 08 Jan 2026 09:23:50 GMTStrict-Transport-Security: max-age2592000; includeSubDomains; preloadcf-cache-status: DYNAMICReport-To: {group:cf-nel,max_age:604800,endpoints:{url:https://a.nel.cloudflare.com/report/v4?s95x%2Bne0Pl%2B6klzM1QBJ583KtfS176bcSyR6ClsGB4nVwV2LPfVGImh50fWmsn2RfnPUO4JJutgR4q1M8bmC%2B7lBozuKv9Mo8GWHhTjU%3D}}Server: cloudflareCF-RAY: 9c765f46abb1147f-PDXalt-svc: h3:443; ma86400 !DOCTYPE html>htmllangen >head>metacharsetUTF-8>title>Pablitron/title>metahttp-equivContent-Security-Policy contentupgrade-insecure-requests>metacontentminimum-scale1.0, widthdevice-width, maximum-scale1.0, user-scalableno nameviewport />linkrelicon hrefhttps://000706013.deployed.codepen.website/pablitron.ico />metapropertyog:title contentPablitron.com/>metapropertyog:image contenthttps://000706013.deployed.codepen.website/pablitron_logo.jpeg/>metapropertyog:description contentadvanced calculator/>metapropertyog:url contenthttps://pablitron.com/>metapropertyog:image:width content1200 />metapropertyog:image:height content630/>meta namedescription contentPablitron is an interactive math exploration platform for discovering sequences, series, integer transforms, matrices, and number theory through real-time computation and visualization. />metapropertyog:type contentwebsite/>metanameviewport contentwidthdevice-width, initial-scale1>link hrefhttps://fonts.googleapis.com/css2?familyNoto+Sans+Symbols+2&displayswap relstylesheet>link relstylesheet hrefhttps://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/css/swiffy-slider.min.css>script srchttps://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/js/swiffy-slider.min.js defer>/script>linkrelstylesheet hrefhttps://prismjs.com/themes/prism.css>linkrelstylesheet hrefhttps://prismjs.com/plugins/line-numbers/prism-line-numbers.css>linkrelstylesheet hrefhttps://live.prismjs.com/prism-live.css>linkrelstylesheet hrefhttps://fonts.googleapis.com/css2?familyNunito+Sans:wght@100;300&displayswap>linkrelstylesheet hrefhttps://cdn.jsdelivr.net/npm/chosen-js@1/chosen.min.css>linkrelstylesheet hrefhttps://cdnjs.cloudflare.com/ajax/libs/toastr.js/latest/css/toastr.min.css>linkrelstylesheet hrefhttps://000706013.deployed.codepen.website/style.css>/head>body>link relpreconnect hrefhttps://fonts.googleapis.com>link relpreconnect hrefhttps://fonts.gstatic.com crossorigin>link hrefhttps://fonts.googleapis.com/css2?familyRoboto:ital,wght@0,100;0,300;0,400;0,500;0,700;0,900;1,100;1,300;1,400;1,500;1,700;1,900&displayswap relstylesheet>div idloadingPageOverlay classmask style/*0D0B0C*/display: block;position: fixed;height:100%;background-color: #0D0B0C; background-image: url(https://000706013.deployed.codepen.website/pablitron_logo.jpeg); background-repeat: no-repeat; background-position: center; background-size: contain;>span stylecolor:#FFF;position: relative;top: 1%;width: 100%;text-align: center;margin-top: 30px;> span istype-async idtype-text>Loading Pablitron.com v0.1.3/span> span classblinking-cursor>_/span> div classeyeLoader> div classeyePupil>/div> /div> h1 classloaderGallery> !--span>𝜋/span> span>φ/span> span>e/span>--> span>img srchttps://oeis.org/banner2021.jpg stylewidth: 38px; height: 50px; object-fit: cover; object-position: 0% 12px;/>/span> span>img srchttps://mathjs.org/css/img/mathjs_330x100.png width50px />/span> span>img srchttps://echarts.apache.org/en/images/favicon.png?_v_20200710_1 width50px />/span> span>img srchttps://www.mathjax.org/badge/mj-logo.svg width50px stylebackground-color:#FFF; />/span> !--span>img srchttps://prismjs.com/assets/logo.svg width50px />/span>--> !--span>img srchttps://www.easyprogramming.net/logo/jquery.png width50px />/span> /h1>-->/div>div idmask classmask>/div>div idpopup_listformula classpopupContainer popup_listFormula >/div>div idpopup_details classpopupContainer popup_details >/div>div idpopup_Advanced classpopupContainer popup_listFormula >/div>div idpopup_Histo classpopupContainer popup_Histo >/div>div idpopup_Options classpopupContainer popup_Options> span>Number precision : /span>span idlbl_Option-Precision classbold>500 digits/span> br/> input typerange min5 max998 value509 classslider idOption-Precision oninputUpdatePrecision(this.value);> button onclickµ.get(Option-Precision).value15;UpdatePrecision(15);>S/button>button onclickµ.get(Option-Precision).value50;UpdatePrecision(50);>L/button>button onclickµ.get(Option-Precision).value250;UpdatePrecision(250);>XL/button>button onclickµ.get(Option-Precision).value509;UpdatePrecision(509);>XXL/button> br/> span idlbl_Option-Precision-warning>i>⚠️ high precision, may slow down computation & display time/i>/span> BR/>BR/>span>formula font size : /span>span idlbl_Option-FormulaFontSize classbold>16 px/span>BR/> input typerange min5 max78 value16 classslider idOption-FormulaFontSize oninputUpdateFormulaFontSize(this.value);> button onclickµ.get(Option-FormulaFontSize).value8;UpdateFormulaFontSize(8);>XS/button>button onclickµ.get(Option-FormulaFontSize).value16;UpdateFormulaFontSize(16);>S/button>button onclickµ.get(Option-FormulaFontSize).value24;UpdateFormulaFontSize(24);>L/button>button onclickµ.get(Option-FormulaFontSize).value48;UpdateFormulaFontSize(48);>XL/button> BR/>BR/> span>default matrix/tables Columns x Rows displayed :/span>span idlbl_Option-MaxArrayItems classbold> 5x5/span>BR/> input typerange min3 max225 value5 classslider idOption-MaxArrayItems oninputUpdateMaxArrayItems(this.value);> button onclickµ.get(Option-MaxArrayItems).value5;UpdateMaxArrayItems(5);>S/button>button onclickµ.get(Option-MaxArrayItems).value10;UpdateMaxArrayItems(10);>L/button>button onclickµ.get(Option-MaxArrayItems).value20;UpdateMaxArrayItems(20);>XL/button> BR/>BR/> span>default Max decimal places shown : /span>span idlbl_Option-MaxDigitsDisplayed classbold>5/span>BR/> input typerange min1 max510 value5 classslider idOption-MaxDecimalPlaces oninputUpdateMaxDecimalPlaces(this.value);> button onclickµ.get(Option-MaxDecimalPlaces).value5;UpdateMaxDecimalPlaces(5);>S/button>button onclickµ.get(Option-MaxDecimalPlaces).value15;UpdateMaxDecimalPlaces(15);>L/button>button onclickµ.get(Option-MaxDecimalPlaces).value50;UpdateMaxDecimalPlaces(50);>XL/button> span idlbl_Option-MaxDigitsDisplayed-sample styleword-wrap: break-word;>(π3.14159...)/span> BR/>BR/> span>default Max List elements shown : /span>span idlbl_Option-MaxSequenceItemsDisplayed classbold>10/span>BR/> input typerange min10 max509 value10 classslider idOption-MaxSequenceItemsDisplayed oninputUpdateMaxSequenceItemsDisplayed(this.value);> button onclickµ.get(Option-MaxSequenceItemsDisplayed).value10;UpdateMaxSequenceItemsDisplayed(10);>S/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value20;UpdateMaxSequenceItemsDisplayed(20);>L/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value50;UpdateMaxSequenceItemsDisplayed(50);>XL/button>button onclickµ.get(Option-MaxSequenceItemsDisplayed).value200;UpdateMaxSequenceItemsDisplayed(200);>XXL/button> span idlbl_Option-MaxSequenceItemsDisplayed-sample styleword-wrap: break-word;>{1,2,3,4,5,6,7,8,9,...,20}/span> BR/>BR/> span>Default boolean display :/span> select idOption-DisplayMatrixAsTable oninputUpdateDisplayMatrixAsTable(this.value);> option valueint>1 or 0/option> option valuebool selectedselected>true or false/option> /select> BR/>BR/> span>Default resultset display :/span> select idOption-DisplayMatrixAsTable oninputUpdateDisplayMatrixAsTable(this.value);> option valuelist>list/option> option valuetable selectedselected>table/option> /select> BR/>BR/> span>OEIS fraction match :/span>BR/>select idOption-OEISFraction onchangeRenderer.config.OEISMatching.OEISfractionthis.optionsthis.selectedIndex.id;>option id1>Numerator/option>option id2>Denominator/option>/select>BR/> BR/> !--div styledisplay:flex;> theme button idtheme-toggle classbtn btn-link btn-sm ml-2 small typebutton> span classd-block-light d-none>🌑/span> span classd-block-dark d-none>💡/span> /button> /div>--> !--button classToolMenuButton btn-compute onclickalert(nope... todo;));>💾 Save/button> button classToolMenuButton button-col-gray btn-compute onclickalert(nope... todo;));>💾 Load/button> button classToolMenuButton button-col-yellow btn-compute onclickalert(nope... todo;));>🗳 Import/button>--> !--button idshareButton classToolMenuButton button-col-yellow btn-compute >📂 Share/button>--> button classToolMenuButton button-col-blue btn-compute stylepadding: 0px; onclicknew storageManager().GetLocalStorageDetails();>💽 Storage/button>BR/> BR/> button stylefloat:right; onclickHidePopup(popup_Options);document.body.style.overflow visible;>Close/button>/div>div idpopup_Help class/*popupContainer*/ popup_Help> span>formula operators 🔎 /span>input idhelpSearch stylewidth:80px; oninput/*filterSuggest(help_operators,this.value);*/ autocompleteoff>/input >button stylefloat:right; onclickHidePopup(popup_Help);document.body.style.overflow visible;>Close/button>BR/> div idhelp_operators classcommandclassification>/div>!--BR/> span>commands details/span>BR/> div idhelp_commands>/div>BR/> BR/>--> /div> div idpopup_PablitronHelper class/*popupContainer*/ popup_PablitronHelper> button stylewidth:100%; onclickHidePopup(popup_PablitronHelper);stopAllYouTubeVideos();document.body.style.overflow visible;>Close/button>BR/> div idPablitronHelper-CommandDetails classmarkdownContent scrollableContent>/div> /div>div idpopup_editRecursive classpopupContainer popup_editRecursive > button stylefloat: right; right: 25px; position: relative; top: 6px;z-index:20000; onclickHidePopup(popup_editRecursive);document.body.style.overflow visible;>X/button> textarea idCodeContent classprism-live language-js fill style--max-height: 30em spellcheckfalse onChangeUpdateJSCode();>function f(n) { var fibArr , i math.bignumber(0), j math.bignumber(1); fibArr.push(i); fibArr.push(j); while (fibArr.length n) { fibArr.push(math.add(fibArrj,fibArri)); j++; i++; } return fibArr;};/textarea>/div>div idMainMenu classMainMenu>span classno-text-selection MenuIcon>div classcube-container> div idCubeLoader classcube> figure classfront>👁/figure> figure classback>P/figure> figure classright>B/figure> figure classleft>A/figure> figure classtop>L/figure> figure classbottom>I/figure> /div>/div>!--🧪-->/span>span classno-text-selection MainTitle>b>P/b>ablitron.com - i>v0.1.3 beta/i>/span>span idMainMenuButton classno-text-selection MainMenuIcon onclickµ.get(mainMenuLinks).style.displayblock?µ.get(mainMenuLinks).style.display none:µ.get(mainMenuLinks).style.display block> ⠇/span>/div> div idmainMenuLinks> a href#FormulaList onclickshowPopup(popup_listformula);/*$(#filterFormulaList).focus();*/µ.get(mainMenuLinks).style.display none;>📚 Formula quickbooks/a> a href#InputHistory onclickshowPopup(popup_Histo);/*$(#filterHistoList).focus();*/µ.get(mainMenuLinks).style.display none;>📜 My inputs history ( span idLogsFormula>/span> )/a> a href#ClearScreen onclickClearScreen();>♻ Clear screen/a> !--a href#SaveFormulaPicture onclickSaveFormulaAsPicture();>📷 Save formula as picture/a>--> a href#Sharethis onclickSharePablitron();>📂 Share this Pablitron 👁/a> a href#options onclickDisplayOptions();>🛠️ Options/a> a idtheme-toggle href#SwitchTheme>span classd-block-light d-none>🌑/span> span classd-block-dark d-none>💡/span> Switch Theme/a> a href#about onclickDisplayHelp();>❔ Help/a> /div> div idFormulaParameters classBox_highlight overCalc> !--textarea idformula classprism-live langage-js fill overCalc style--max-height: 30em languagenb onfocusshowCalculator(); onblurhideCalculator();>/textarea>span idformulaHighligths styledisplay:none;>/span>--> div idmathField-wrapper stylewidth: 100%> /div> table stylewidth:100% classoverCalc> tr stylemax-width: calc(100vw - 67px);> td width0px> !--span classno-text-selection>Fsub>n/sub>/span>--> /td> /tr> tr> td width30px>span idformulaLabel classno-text-selection>⨍sub>(n)/sub>/span>/td> td> div idTexViewerFormulaContainer classTexViewerFormulaContainer> !--math-field idmathQuill stylez-index:2;position:relative; font-size:15px;min-width:100%>/math-field> math-field idmathKeyboard styledisplay:none;visibility:hidden;>/math-field>--> span idTexViewerFormula classTexViewer >/span> /div> /td>/tr>/table> div idformulaWrapperContainer classoverCalc> div idformulaWrapper classoverCalc>span idformulaHighligths stylewhite-space: pre;>type a formula or an integer/span>input idformula classinputBoxFormula spellcheckfalse typetext stylewidth:100%; placeholdertype a formula or an integer valuen onclick/*setCaret(event);showCalculator();*/ onfocus/*blur();*/showCalculator(); onblurhideCalculator(); autocompleteoff />/div> div idcalcbuttons width100% classCalculatorButtonsContainer virtualKeyboard> !--button classsmalBut button-col-gray op7 onclicksetOperator(this); classsmalBut>7 /button> button classsmalBut button-col-gray op8 onclicksetOperator(this); classsmalBut>8 /button> button classsmalBut button-col-gray op9 onclicksetOperator(this); classsmalBut>9 /button> button op* onclicksetOperator(this); classsmalBut>*/button> button op( onclicksetOperator(this); offset classsmalBut>(span op classoptBut offset>/span>/button> button op) onclicksetOperator(this); classsmalBut offset>)span op classoptBut offset>/span>/button> button opchose_adv onclicksetOperator(this); classbutton-col-orange smalBut>➕span classmoreBut>⋯/span>/button> button opcreate_matrix onclicksetOperator(this); classbutton-col-blue smalBut>🔢span classmoreBut>⋯/span>/button>--> !--➕▼--> !--p classbreaker advBut>/p> button opsimplify offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Simplify/button> button opderivative offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Derivative/button> button opwolfram offset-1 onclicksetOperator(this); classbutton-col-orange advBut>Wolfram/button>--> button opsimplify offset-1 onclicksetOperator(this); classbutton-col-blue smalBut>Simpfy/button> button opderivative offset-1 onclicksetOperator(this); classbutton-col-blue smalBut>⨍/button> button opwolfram offset-1 onclicksetOperator(this); classbutton-col-blue smalBut stylecursor: alias;>svg stylewidth:100%; max-width:32px;margin-top:5px; viewBox0 0 20 20>path classmainColor dM15.33 10l2.17-2.47-3.19-.71.33-3.29-3 1.33L10 2 8.35 4.86l-3-1.33.32 3.29-3.17.71L4.67 10 2.5 12.47l3.19.71-.33 3.29 3-1.33L10 18l1.65-2.86 3 1.33-.32-3.29 3.19-.71zm-2.83 1.5h-5v-1h5zm0-2h-5v-1h5z fill#777>/path>/svg>!--img srchttps://www.wolframalpha.com/_next/static/images/favicon_1zbE9hjk.ico stylewidth:100%; max-width:32px;margin-top:5px;/>-->/button> button opcreate_matrix onclicksetOperator(this); classbutton-col-gray smalBut>🔢span classmoreBut>⋯/span>/button> button oppaste classsmalBut button-col-gray onclicksetOperator(this);>📋/button> button op onclicksetOperator(this); classbutton-col-gray smalBut></button> button op> onclicksetOperator(this); classbutton-col-gray smalBut>>/button> button opdelete onclicksetOperator(this); classbutton-col-gray smalBut>❌/button> button opvalidate onclickhideCalculator(true);setTimeout(()>{ApplyFormula();},500); classbutton-col-orange smalBut>↲/button> div idAutoSuggest classAutoSuggest> /div> !--button op* onclicksetOperator(this); classsmalBut>*/button>--> !--button op( onclicksetOperator(this); offset classsmalBut>(span op classoptBut offset>/span>/button>--> !--button op) onclicksetOperator(this); classsmalBut offset>)span op classoptBut offset>/span>/button>--> !--button opchose_adv onclicksetOperator(this); classbutton-col-orange smalBut>➕span classmoreBut>⋯/span>/button> --> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x1 onclicksetOperator(this); classbutton-col-blue matrixBut>2x1/button> button opcreateMatrix offset-1 dim3x1 onclicksetOperator(this); classbutton-col-blue matrixBut>3x1/button> button opcreateMatrix offset-1 dim4x1 onclicksetOperator(this); classbutton-col-blue matrixBut>4x1/button> button opcreateMatrix offset-1 dim5x1 onclicksetOperator(this); classbutton-col-blue matrixBut>5x1/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x2 onclicksetOperator(this); classbutton-col-blue matrixBut>2x2/button> button opcreateMatrix offset-1 dim3x2 onclicksetOperator(this); classbutton-col-blue matrixBut>3x2/button> button opcreateMatrix offset-1 dim4x2 onclicksetOperator(this); classbutton-col-blue matrixBut>4x2/button> button opcreateMatrix offset-1 dim5x2 onclicksetOperator(this); classbutton-col-blue matrixBut>5x2/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x3 onclicksetOperator(this); classbutton-col-blue matrixBut>2x3/button> button opcreateMatrix offset-1 dim3x3 onclicksetOperator(this); classbutton-col-blue matrixBut>3x3/button> button opcreateMatrix offset-1 dim4x3 onclicksetOperator(this); classbutton-col-blue matrixBut>4x3/button> button opcreateMatrix offset-1 dim5x3 onclicksetOperator(this); classbutton-col-blue matrixBut>5x3/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x4 onclicksetOperator(this); classbutton-col-blue matrixBut>2x4/button> button opcreateMatrix offset-1 dim3x4 onclicksetOperator(this); classbutton-col-blue matrixBut>3x4/button> button opcreateMatrix offset-1 dim4x4 onclicksetOperator(this); classbutton-col-blue matrixBut>4x4/button> button opcreateMatrix offset-1 dim5x4 onclicksetOperator(this); classbutton-col-blue matrixBut>5x4/button> p classbreaker matrixBut>/p> button opcreateMatrix offset-1 dim2x5 onclicksetOperator(this); classbutton-col-blue matrixBut>2x5/button> button opcreateMatrix offset-1 dim3x5 onclicksetOperator(this); classbutton-col-blue matrixBut>3x5/button> button opcreateMatrix offset-1 dim4x5 onclicksetOperator(this); classbutton-col-blue matrixBut>4x5/button> button opcreateMatrix offset-1 dim5x5 onclicksetOperator(this); classbutton-col-blue matrixBut>5x5/button> p classbreaker>/p> !--button classsmalBut button-col-gray op4 onclicksetOperator(this);>4 /button> button classsmalBut button-col-gray op5 onclicksetOperator(this);>5 /button> button classsmalBut button-col-gray op6 onclicksetOperator(this);>6 /button> button op+ onclicksetOperator(this); classsmalBut>+/button> button opn onclicksetOperator(this); classsmalBut offset>𝓃span opx classoptBut offset>𝓍/span>/button> button op^() offset-1 onclicksetOperator(this); classsmalBut>asup>(▢)/sup>span opsqrt() offset-1 classoptBut optButSqrt>√span styletext-decoration:overline>(▢)/span>/span>/button> button opcbrt() offset-1 onclicksetOperator(this); classsmalBut>∛span styletext-decoration:overline>(▢)/span>/button> button oplog() offset-1 onclicksetOperator(this); classsmalBut>ln(▢)span oplog10() offset-1 classoptBut optButLog>log(▢)/span>/button> button opchose_ceil offset-1 onclicksetOperator(this); classsmalBut>⌊▢⌉span classmoreBut>⋯/span>/button> p classbreaker>/p> button opround() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>round(▢)/button> button opceil() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>ceil(▢)/button> button opfloor() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>floor(▢)/button> button opfrac() offset-1 onclicksetOperator(this); classbutton-col-gray ceilBut>frac(▢)/button> p classbreaker>/p> button classsmalBut button-col-gray op1 onclicksetOperator(this);>1 /button> button classsmalBut button-col-gray op2 onclicksetOperator(this);>2 /button> button classsmalBut button-col-gray op3 onclicksetOperator(this);>3 /button> button op- onclicksetOperator(this); classsmalBut>-/button> button opj offset onclicksetOperator(this); classsmalBut>𝒿span opy classoptBut offset>𝓎/span>/button> button opabs() offset-1 onclicksetOperator(this); classsmalBut>|▢|/button> button opchose_sin onclicksetOperator(this); classsmalBut>∡span classmoreBut>⋯/span>/button> button opchose_fplus onclicksetOperator(this); classsmalBut>⨍▢span classmoreBut>⋯/span>/button> button opchose_const onclicksetOperator(this); classsmalBut>ζ,𝛄span classmoreBut>⋯/span>/button> p classbreaker>/p> button opcos() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>cos(▢)/button> button opcosh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>cosh(▢)/button> button opacos() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acos(▢)/button> button opacosh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acosh(▢)/button> p classbreaker sinBut>/p> button opsin() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sin(▢)/button> button opsinh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sinh(▢)/button> button opasin() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asin(▢)/button> button opasinh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asinh(▢)/button> p classbreaker sinBut>/p> button optan() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>tan(▢)/button> button optanh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>tanh(▢)/button> button opatan() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>atan(▢)/button> button opatanh() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>atanh(▢)/button> p classbreaker sinBut>/p> button opcot() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut >cot(▢)/button> button opcoth() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>coth(▢)/button> button opacot() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acot(▢)/button> button opacoth() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acoth(▢)/button> p classbreaker sinBut>/p> button opcsc() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>csc(▢)/button> button opcsch() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>csch(▢)/button> button opacsc() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acsc(▢)/button> button opacsch() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>acsch(▢)/button> p classbreaker sinBut>/p> button opsec() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sec(▢)/button> button opsech() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>sech(▢)/button> button opasec() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asec(▢)/button> button opasech() offset-1 onclicksetOperator(this); classbutton-col-gray sinBut>asech(▢)/button> p classbreaker sinBut>/p> p classbreaker fplusBut>/p> button opfib() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>fib(▢)/button> button opcollatz offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>collatz▢/button> button opclzft offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>clzft▢/button> button opnpartitions offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>npartitions▢/button> p classbreaker fplusBut>/p> button opdivisors() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>0/sub>(▢)/button> button opsigma() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>1/sub>(▢)/button> button opsigmam() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Sigmasub>-1/sub>(▢)/button> button opbinomial(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Binomial(▢,▢)/button> p classbreaker fplusBut>/p> button opeulerian(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Eulerian(▢,▢)/button> button opstirling(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Stirling(▢,▢)/button> button opstirling2(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>Stirling2(▢,▢)/button> p classbreaker fplusBut>/p> button optotient() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>Totient(▢)/button> button opgcd(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>gcd(▢,▢)/button> button oplcm(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>lcm(▢,▢)/button> p classbreaker fplusBut>/p> button opnarayana(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>narayana(▢,▢)/button> button opdelannoy(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>delannoy(▢,▢)/button> button opmotzkin() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>motzkin(▢)/button> p classbreaker fplusBut>/p> button opworpitzky(,) offset-2 onclicksetOperator(this); classbutton-col-gray fplusBut>worpitzky(▢,▢)/button> button opharmonic() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>harmonic(▢)/button> button opalterharmonic() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>alterharmonic(▢)/button> button opzeta() offset-1 onclicksetOperator(this); classbutton-col-gray fplusBut>zeta(▢)/button> p classbreaker fconstBut>/p> button opeulergamma offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛄 Euler-Mascheroni/button> button opfeigenbaum offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿 Feigenbaum/button> p classbreaker fconstBut>/p> button opphi offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝜑 Golden ratio/button> button opsupergolden offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>ψ SuperGolden ratio/button> button opsilverratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿sub>s/sub> Silver ratio/button> button opbronzeratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>𝛿sub>b/sub> Bronze ratio/button> button opsupersilver offset0 onclicksetOperator(this); classbutton-col-gray fconstBut> ς SuperSilver ratio/button> button opplasticratio offset0 onclicksetOperator(this); classbutton-col-gray fconstBut>ρ Plastic ratio/button> p classbreaker>/p> button classsmalBut op. onclicksetOperator(this); stylepadding-left:4px; offset>.span op, classoptBut offset>,/span>/button>--> !--mod --> !--button classsmalBut button-col-gray op0 onclicksetOperator(this);>0 /button> button op% onclicksetOperator(this); classsmalBut offset>%span op! classoptBut offset>!/span>/button> button op/ onclicksetOperator(this); classsmalBut>//button> button opk onclicksetOperator(this); classsmalBut offset>𝓀span opz classoptBut offset>𝓏/span>/button> button op| onclicksetOperator(this); classbutton-col-blue smalBut>b>⇤/b>/button> button op>| onclicksetOperator(this); classbutton-col-blue smalBut>b>⇥/b>/button> button opcut classsmalBut button-col-blue onclicksetOperator(this);>✂/button> button oppaste classsmalBut button-col-blue onclicksetOperator(this);>📋/button> p classbreaker>/p> button oppi onclicksetOperator(this); classbutton-col-blue smalBut>abc/button>--> !--𝜋--> !--button opswitchKey onclicksetOperator(this); classbutton-col-blue smalBut>⇄/button>--> !--𝜏--> !--button oppi onclicksetOperator(this); classsmalBut offset>𝜋span optau classoptBut offset>𝜏/span>/button> button ope onclicksetOperator(this); classsmalBut offset>espan opphi classoptBut offset>φ/span>/button> button opp() onclicksetOperator(this); classsmalBut stylepadding-left: 4px; offset-1>p(▢)/button> button op onclicksetOperator(this); classbutton-col-blue smalBut></button> button op> onclicksetOperator(this); classbutton-col-blue smalBut>>/button> button operase onclicksetOperator(this); classbutton-col-blue smalBut>⌫/button> button opvalidate onclickhideCalculator(true);setTimeout(()>{ApplyFormula();},500); classbutton-col-blue smalBut>↲/button>-->/div> /div>div idSymbol-selector classSymbol-selector styledisplay:none;> /div>/div>!--button idhideShowFormula stylefloat:right onclick$(#FormulaParameters).toggle();$(#BTN_ComputeFormula).toggle();$(#BTN_ComputeFormula_details).toggle();$(#hideShowFormula).toggleClass(button-silver-activated);µ.getContent(hideShowFormula).startsWith(Hide)?µ.setContent(hideShowFormula,Show ▼):µ.setContent(hideShowFormula,Hide ▲);>Hide ▲/button>-->div idToolParameters stylebackground:#EEE; padding:3px; margin: 2px;display:none;> span idLBL_PascalTriangle classno-text-selection>Draw triangle until /span> input idToolMin typenumber value20 stylewidth:40px />/div>button idBTN_ComputeFormula onclickApplyFormula(); classbutton-col-orange btn-compute>span idBTN_ComputeFormula_lbl>Evaluate Fsub>n/sub>/span>/button> div idShowDetails-panel styledisplay:contents>input idBTN_ComputeFormula_details typecheckbox>Show details/input>input idBTN_ComputeFormula_fraction typecheckbox>Real as fraction/input>/div> div idOEISGuessSequenceLoader classlds-facebook styledisplay:none;>/div>progress idpb_formulaProgress styledisplay:none>/progress>button idstopFormulaComputation classbutton-col-red styledisplay:none; onclickFormulaComputed(ApplyFormula_buffer);>Stop/button>BR />BR />div idresultPanel styledisplay:none;> div idtransformHistory data-StackContent0>/div> !-- empty section formatdiv classsection> div classTitleBar> span classcmdBarTitle>Values/span> /div> div classsection-content> /div> div width100% classCommandBar > /div>/div> --> div classsection> div idTitleBar classTitleBar> span idcmdBarTitle classcmdBarTitle>Values/span> /div> div classsection-content> div idTexViewerResultsContainer classTexViewerFormulaContainer wideResultsContainer styledisplay:none;> span idTexViewerResults classTexViewer stylemax-width:99%;width:99%; display: block; >/span> /div> textarea idTextareaResults rows4 nametext stylewidth:100%;display:block; onkeyupUpdateOEISSearch(event,);updateTexViewerResults(); placeholderEvaluate a formula or, type your integer sequence here>/textarea> /div>div idCommandBar classCommandBar > button idCmdBar-ToggleListTable onclickToggleListTableView();>list view/button> button idCmdBar-MoreDigits onclickAddMoreDigitsInView();>more decimals/button> button idCmdBar-MoreItems onclickAddMoreItemsInView();>expand list/button> button idCmdBar-MoreMatrix onclickAddMoreMatrixItemsInView();>expand matrix/button> button onclickToggleRAW(this);>raw data/button> /div>/div> div classsubsections Hide>/div> div width100% classSequenceInfoZone styledisplay:none;>span idSequenceGuessedName>/span> !--button idtoolsDisplayer stylefloat:right onclick$(#DisplayToolsPopup).toggleClass(popOut-Right);$(#toolsDisplayer).toggleClass(button-silver-activated);>Tools ▼/button> div idDisplayToolsPopup classpop> table> tr> td>button onclickµ.setValue(TextareaResults,);µ.setValue(formula,n);µ.setContent(SequenceGuessedName,);µ.setContent(resultSpan,);µ.hide(selectionMode);µ.click(toolsDisplayer)>Clear/button>/td> /tr> tr> td>/td> /tr> /table> /div>--> /div>/div>div classtoolbarContainerstyledisplay:none;> div idToolsMenu classtoolbar styledisplay:none; >button idTool1 classLargeBtn onclickTool_BTN_Inspect_Click();>big>🔍/big> Inspect/button>button idTool2 classLargeBtn onclickTool_BTN_Plot_Click();>big>📉/big> Plot/button>button idTool3 classLargeBtn onclickTool_BTN_Transform_Click();>big>🔀/big>Transform/button>!--button classLargeBtn>big>💾/big>BR/> Options/button>/div>-->/div> div idToolChoice classtoolChoice flex-container styledisplay:none;> div classTool1 ToolBtn>big>🧬/big>BR/> Sequence analysis/div> div classTool1 ToolBtn>big>🧮/big>BR/> Terms analysis/div> div classTool1 ToolBtn>big>👓/big>BR/> Visual filter/div> div classTool1 ToolBtn>big>🧱/big>BR/> Terms prime factorization/div> div classTool1 ToolBtn>big>🧪/big>BR/> Search connected sequences/div> div classTool2 ToolBtn>big>📊/big>BR/> Bar chart/div> div classTool2 ToolBtn>big>📉/big>BR/> Scatter chart/div> div classTool2 ToolBtn>big>📈/big>BR/> Area chart/div> div classTool2 ToolBtn>big>✴/big>BR/> Polar chart/div> div classTool2 ToolBtn>big>📈/big>BR/> Benfords law/div> div classTool2 ToolBtn>big>➾/big>BR/> Transform chart/div> div classTool2 ToolBtn>big>➗/big>BR/> Continued fraction convergence/div> div classTool2 ToolBtn>big>⇝/big>BR/> Ratio between terms/div> div classTool2 ToolBtn>big>⇄/big>BR/> Path chart/div> div classTool2 ToolBtn>big>☱/big>BR/> Binary view/div> div classTool2 ToolBtn>big>🔄/big>BR/> Modular view/div> div classTool2 ToolBtn>big>🌌/big>BR/> Ulam spiral/div> div classTool2 ToolBtn>big>🌌/big>BR/> Sacks spiral/div> /div> /div>BR />div idOptionsWrapper classOptionsWrapper styledisplay:none;> div classtabpage> input typeradio idtab1 nametab checked valueInspect onclickTool_BTN_Inspect_Click();> label fortab1 classno-text-selection>🔍 Inspect/label> input typeradio idtab2 nametab valueplot onclickTool_BTN_Plot_Click();> label fortab2 classno-text-selection>📈 Chart/label> input typeradio idtab3 nametab valuetransform onclickTool_BTN_Transform_Click();> label fortab3 classno-text-selection styleborder-radius: 0px 3px;>🔢 transform/label> !--input typeradio idtab4 nametab onclickµ.setContent(hints,knowhow.getDef(Options)+ +knowhow.getDef(Tools));> label fortab4 styleborder-radius: 0px 3px; classno-text-selection>i classfa fa-share-alt>/i> 💾 Options/label>--> div classline>/div> div classcontent-container> div classcontent idc1> div styledisplay:flex;>Inspect: select idinspectType onchangeadaptOptionsInspect();> option valueDetails>sequence properties/option> option valueSumTerms>sum sequence terms/option> !--option valueGraph>sequence graphs/option> option valueAdvGraph>special graphs/option>--> option valueGridDisplay>sequence grid display/option> option valuePrimFact>prime factorization/option> option valuetransformInspector>transform detail/option> option valueAutoExplorer>automatic explorer/option> option valuemiscellaneous>miscellaneous tools/option> /select> /div> div idAutoExplorerOptions classBox_highlight> input idDetails-AutoExplorerMaxChild typenumber value3 stylewidth:40px />span> max child exploration/span> /div> div idDetails-showAbundantDetail classBox_highlight styledisplay:none;> input typecheckbox idDetails-showAsTable checked>Show result as table / or list /input> input typecheckbox idDetails-showAbundantDetailDo checked>Show/compute abundant number up to/input> select idDetails-showAbundantDetailVal> option value2>2 divisors/option> option value5>5 divisors/option> option value10>10 divisors/option> option value20>20 divisors/option> option value10000000 selected>all divisors/option> /select> /div> div idAutoExplorerOptions_2 classBox_highlight> select data-placeholderChoose transforms ... classchosen-select multiple idAutoExplorerTransformSelect width300px> option valuePartialSum>Partial Sum/option> option valueRiordanArray>Riordan Array/option> option valueInvBinomial>Inverse Binomial/option> option valueFiniteDiff-FD>Finite Difference - first diagonal/option> option valueFiniteDiff-FR>Finite Difference - first row/option> option valueFiniteDiff-SR>Finite Difference - second row/option> option valueFiniteDiff-TR>Finite Difference - third row/option> option valuePairSum-FD>Pair Sum - first diagonal/option> option valuePairSum-FR>Pair Sum - first row/option> /select> /div> div idAdvancedGraph_Options classBox_highlight> input typecheckbox idAdvancedGraph_Options_ColoredBin checked>Colored Binary Words /input> input typecheckbox idAdvancedGraph_Options_ReverseWords>Reverse Words /input> input idAdvancedGraph_Options_ItemsByRow typenumber value150 stylewidth:40px />span> elements by row/span> /div> div idAdvancedGraph_Options_ModularGraph classBox_highlight> input typecheckbox idAdvancedGraph_Options_ColoredModular checked>Colored Modular Graph /input> /div> div idGridDisplayOptions_0 classBox_highlight> input typecheckbox idDetails-BaseGridDisplay checked>Grid display with /input>input idDetails-GridRowWidth typenumber value16 stylewidth:40px />span> max elements by row/span> /div> div idGridDisplayOptions classBox_highlight> input idBaseConvertChoice typecheckbox> Base convert /input> select idconvBase> option value2>2 (Binary)/option> option value3>3/option> option value4>4/option> option value4D>4 (DNA)/option> option value4R>4 (RNA)/option> option value5>5/option> option value6>6/option> option value7>7/option> option value8>8 (Octal)/option> option value9>9/option> option value11>11/option> option value12>12/option> option value13>13/option> option value14>14/option> option value15>15/option> option value16>16 (Hexa)/option> option value17>17/option> option value18>18/option> option value19>19/option> option value20>20/option> option value20K>20 (Kaktovik)/option> option value20M>20 (Mayan)/option> option value21>21/option> option value22>23/option> option value24>24/option> option value25>25/option> option value26>26/option> option value27>27/option> option value28>28/option> option value29>29/option> option value30>30/option> option value31>31/option> option value32>32/option> option value33>33/option> option value34>34/option> option value35>35/option> option value36>36/option> option value42>42 (euler prime formula n^2-n+41)/option> option value60>60 (Sumerian/Babylonian base)/option> option value119>119 (118 known chemical elements)/option> option value137>137 (1/fine structure constant)/option> option value138>138 (1/fine structure constant +1)/option> option value139>139 (bohrs 138 chemical elements limit)/option> option value172>172 (theorical extended periodic table -1 Element)/option> option value173>173 (172 theorical extended periodic table)/option> /select> /div> div idInspectorList classBox_highlight> select idtransformInspectorList onchangeadaptOptionsInspect();> option valueSum>Sum terms/option> option valueSub>Finite difference/option> option valueWall>Number Wall/option> option valueEulerM>Euler Machine/option> option valueCarrL>P.Carranza L transform/option> option valueInterPS>Interlaced Pair Sum/option> option valueTetra>Tetrahedral/option> option valueBoustro>Boustrophedon/option> /select> /div> div idtransform-sum-opCount classBox_highlight styledisplay: inline-flex;>span classno-text-selection> each/span> input idoperationCount-sum-detail typenumber value2 min2 max1000 stylewidth:40px>span classno-text-selection> terms/span> /div> div idtransform-bou-maxRow classBox_highlight styledisplay:none;>span classno-text-selection>until/span> input idmaxRowCount-bou typenumber value10 min1 max100 stylewidth:40px>span classno-text-selection> rows/span> /div> div idmiscellaneous-inspect-options classBox_highlight styledisplay:none;>span classno-text-selection>select tool/span> select idmiscellaneous-inspect-options-tool> option valuePascal>Draw Pascal triangle/option> option valueBell>Draw Bell triangle/option> option valueBou>Draw Boustrophedon triangle/option> option valueCatalan>Draw Catalans triangle/option> option valueFloyd>Draw Floyds triangle/option> option valueHosoya>Draw Hosoyas triangle/option> option valueEulerian>Draw Eulerians triangle/option> option valueNarayana>Draw Narayanas triangle/option> option valuePow>Draw Power table/option> /select> /div> div idmiscellaneous-inspect-options-tool-maxRow classBox_highlight styledisplay:none;>span classno-text-selection>show /span> input idmiscellaneous-inspect-options-tool-maxRowCount typenumber value11 min1 max1000 stylewidth:50px>span classno-text-selection> first rows/span> /div> /div> div classcontent idc2> div styledisplay:flex;> Chart type: select idchartType onchangeadaptOptionsChart();> option valueGraph>sequence graphs/option> option valueAdvGraph>special graphs/option> /select> /div> /div> div classcontent idc3> div styledisplay:flex;> !--input typeradio idchosenOperationTransform namechosenOperation onclickadaptOptions(); valuetransform>-->Apply transform: select idtransformType onchangeadaptOptionsTransform();> option valueNumbDigits>number of digits/option> option valueRem0>Remove 0s in sequence/option> option valueInvSign>Invert Sign (*-1)/option> option valueAltSign>Alternate Sign :i*2-1(*-1)/option> option valueAbsSign>Absolute value | n |/option> option valueReverse>Reverse sequence n::-1/option> option valueSumT>Sum terms/option> option valuePartSum>Partial sum/option> option valueInclSum>Riordan array/option> option valueSubT>Finite difference/option> option valueTetraT>Tetrahedral/option> option valueBino>Inverse binomial/option> option valueBou>Boustrophedon/option> option valueLaplace>Laplace/option> option valueLagrange>Lagrange inversion/option> option valuetr-DG>Digital root/option> option valuetr-DS>Digit sum/option> option valuetr-AP>Additive persistence/option> option valuetr-MR>Multiplicative root/option> option valuetr-MP>Multiplicative persistence/option> option valuetr-ND>Numeric difference/option> option valuetr-RP>Reciprocal period/option> option valuetr-RV>Reciprocal period value/option> !--option valueTetraDiff>Tetrahedral Diff/option>--> option valuecustom>Custom function/option> option valueCtdFract>Continued fraction of real/option> option valueCtdFractToReal>real from seq. as Cont fract/option> option valuedecExp>decimal expansion of real/option> option valueCO>Count occurence/option> /select> /div> div idtransform-customFunction classBox_highlight styledisplay:flex;width:100%>span classno-text-selection> Custom formula/span>input idcustomFunction-content typetext autocompleteoff placeholderwrite a formula , ex: n^2 stylewidth:100%>/div> div idtransform-sum classBox_highlight styledisplay:flex;>span classno-text-selection> each/span> input idoperationCount-sum typenumber value2 min2 max1000 stylewidth:40px>span classno-text-selection> terms/span> /div> div idtransform-option-choice classBox_highlight styledisplay:flex;> result is select idtransform-result-show> option valueFD selected>1st diagonal/option> option valueSD>2nd diagonal/option> option valueFR>1st row/option> option valueSR>2nd row/option> /select> /div> div idtransform-bou classBox_highlight styledisplay:none;>span classno-text-selection>until/span> input idoperationCount-bou typenumber value10 min1 max100 stylewidth:40px>span classno-text-selection> terms/span> /div> /div> div classcontent idc4> /div>button idBTN_Tool onclickCompute(); classbutton-col-orange btn-compute snapBottom>span>Calculate/span> div idDoItLoader classlds-facebook styledisplay:none;> div>/div> div>/div> div>/div> /div> /button> button idoptionDisplayer classsnapBottom styleleft:80px;>span stylepadding:0px 4px;>🛠 Numbers format ▼/span>/button> /div> /div> div idOperactionChoices classChoiceMenu> div idhints classhints> /div> button classhintscloseButton typebutton onclickµ.setContent(hints,)> span aria-hiddentrue>i classfa fa-window-close>X/i>/span> /button> !--div>input idchosenOperationSubForward typeradio namechosenOperation valueSub onclickadaptOptions();>b classno-text-selection>Finite difference/b>/div>--> !--div>input idchosenOperationDetails typeradio namechosenOperation valueDetails onclickadaptOptions();>b classno-text-selection >Sequence details/b>/div>--> !--div>input idchosenOperationPlotting typeradio namechosenOperation valuePlot onclickadaptOptions();>b classno-text-selection>Graphs/b>/div>--> !--div>input idchosenOperationConv typeradio namechosenOperation valueConv onclickadaptOptions();>b classno-text-selection>Grid Diplay /b>/div>--> /div> div idDisplayOptionsPopup classpop> table> tr> td>input typecheckbox idPrettyPrint checkedchecked>Pretty Print/input>/td> td>digital root base select iddgBase> option value2>2/option> option value3>3/option> option value4>4/option> option value5>5/option> option value6>6/option> option value7>7/option> option value8>8/option> option value9>9/option> option selected value10>10/option> option value11>11/option> option value13>13/option> option value19>19/option> option value21>21/option> option value25>25/option> option value31>31/option> option value43>43/option> option value61>61/option> option value91>91/option> option value121>121/option> /select>/td> /tr> tr> td>input typecheckbox idPrettyPrint-InfoPlus checkedchecked>Additional number info/input> td>select idPrettyPrint-InfoPlus-Choice> option valueoddEven>modulo/option> option valuedgRoot selected>Digital root/option> option valuedgSum>Digital sum/option> option valueaddPers>Additive persistence/option> option valuemultRoot>Multiplicative root/option> option valuemultPers>Multiplicative persistence/option> option valuenumDiff>Numeric Difference/option> option valuerecPeriod>Reciprocal period/option> option valueeulerTotient>Euler Totient/option> /select>/td> /td> /tr> tr> td>input typecheckbox idPrettyPrint-oddeven checkedchecked>colorize odd/Even/input>/td> td idsampleOddEven>/td> /tr> tr> td>input typecheckbox idPrettyPrint-Primes checkedchecked>Highlight primes/input>/td> td idsamplePrime>/td> /tr> tr> td>input typecheckbox idPrettyPrint-dg checkedchecked>colorize digit root/input>/td> td idsampleDigitRoot>/td> /tr> tr> td colspan2>input typecheckbox idPrettyPrint-useDGcolor>colorize numbers with digit root color/input>/td> td>/td> /tr> tr> td colspan2> input typecheckbox idPrettyPrint-hideNumbers>No numbers/input>input idRoundShape typeradio nameshapeSelector checkedchecked>Round shape/input>input idSquareShape typeradio nameshapeSelector>Square shape/input> /td> td> /td> /tr> tr> td colspan2> input typecheckbox idPrettyPrint-onlyDigitRoot>Show only number additional information/input> /td> td> /td> /tr> /table> /div> BR /> span idselectionMode styledisplay:none;>Inspector:button idselectionMode_None classbutton-3d button-black button-black-activated toolbar-button toolbar-button-first onclickSelectionMode(0); titleNone>span> div>⨯/div> /span>/button>button idselectionMode_Horizontal classbutton-3d button-black toolbar-button toolbar-button-middle onclickSelectionMode(1); titleHorizontal>span> div>⇿/div> /span>/button>button idselectionMode_Diagonal classbutton-3d button-black toolbar-button toolbar-button-middle onclickSelectionMode(2); titleDiagonal left to right>span> div>⇘/div> /span>/button>button idselectionMode_DiagonalRevert classbutton-3d button-black toolbar-button toolbar-button-end onclickSelectionMode(3); titleDiagonal right to left>span> div>⇙/div> /span>/button> /span> button tabindex0 rolebutton idshareButton classbutton-3d button-black title data-togglemodal data-target#shareModal data-placementbottom data-contentClick to share this unique pattern data-triggerfocus stylevisibility:hidden;display:none;> span>i classfa fa-share>/i> Share/span> /button>/div>a idsearchLink hrefhttps://oeis.org/search?q&sortcreated target_blank styledisplay:none;z-index:10>Search the sequence in oeis.org/a>div>BR />span idresultSpan>/span>/div>BR />BR />BR />BR /> script srchttps://unpkg.com/mathjs@14.6.0/lib/browser/math.js>/script> script srchttps://code.jquery.com/jquery-3.6.0.min.js>/script> script srchttps://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?featureses6>/script> script srchttps://cdn.jsdelivr.net/npm/mathjax-full@3.2.2/es5/tex-mml-chtml.js>/script> script srchttps://prismjs.com/prism.js>/script> script srchttps://prismjs.com/plugins/line-numbers/prism-line-numbers.js>/script> script srchttps://live.prismjs.com/src/prism-live.js>/script> script srchttps://live.prismjs.com/src/prism-live-markup.js>/script> script srchttps://live.prismjs.com/src/prism-live-css.js>/script> script srchttps://cdn.jsdelivr.net/npm/echarts@5.3.2/dist/echarts.min.js>/script> script srchttps://echarts.apache.org/en/js/vendors/echarts-gl/dist/echarts-gl.min.js>/script> script srchttps://cdn.jsdelivr.net/npm/chosen-js@1/chosen.jquery.min.js>/script> script srchttps://live.prismjs.com/src/prism-live.mjs?loadcss,html,javascript>/script> script srchttps://cdnjs.cloudflare.com/ajax/libs/html2canvas/1.4.1/html2canvas.min.js>/script> script srchttps://unpkg.com/jspdf@latest/dist/jspdf.umd.min.js>/script> script srchttps://cdnjs.cloudflare.com/ajax/libs/toastr.js/latest/js/toastr.min.js>/script> script srchttps://cdn.jsdelivr.net/npm/marked/marked.min.js>/script> script srchttps://000706013.deployed.codepen.website/script.js>/script> /body>/html>!--Minify by http://www.MinifyWeb.com/-->
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