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<!DOCTYPE html> <html lang="en"> <head> <title>oeis -- OEIS lookup</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="Look up mathematical information online" href="index.html">OnlineLookup</a> :: <a title="OEIS lookup" href="_oeis.html">oeis</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | <a href="_isc.html">previous</a> | forward | <a href="_isc.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>oeis -- OEIS lookup</h1> <div> <h2>Description</h2> <div> <p>This function looks up the argument (a list of integers or a string) in the Online Encyclopedia of Integer Sequences (<a href="http://oeis.org/">http://oeis.org/</a>).</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : oeis {1,3,31,1145} o1 = {0 => (A029729 (see https://oeis.org/A029729 ) Degree of the variety of pairs of commuting n X n matrices.)} {1 => (A094579 (see https://oeis.org/A094579 ) Duplicate of A029729.) } o1 : NumberedVerticalList</code></pre> </td> </tr> </table> <div> <p>Optional arguments <span class="tt">Limit</span> and <span class="tt">Position</span> allow to control the maximum amount of listed answers.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i2 : L = apply(5,n->n!);</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : oeis (L,Limit=>5) o3 = {0 => (A000142 (see https://oeis.org/A000142 ) Factorial numbers: n! = 1*2*3*4*...*n (order of symmetric group S_n, number of permutations of n letters).)} {1 => (A072856 (see https://oeis.org/A072856 ) Number of permutations satisfying i-4<=p(i)<=i+4, i=1..n (permutations of length n within distance 4).) } {2 => (A061602 (see https://oeis.org/A061602 ) Sum of factorials of the digits of n.) } {3 => (A177523 (see https://oeis.org/A177523 ) Number of permutations of 1..n avoiding adjacent step pattern up, up, up, up.) } {4 => (A263777 (see https://oeis.org/A263777 ) Number of inversion sequences avoiding pattern 201 (or 210).) } o3 : NumberedVerticalList</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : oeis (L,Limit=>1,Position=>2) o4 = {0 => (A061602 (see https://oeis.org/A061602 ) Sum of factorials of the digits of n.)} o4 : NumberedVerticalList</code></pre> </td> </tr> </table> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">oeis</span>:</h2> <ul> <li><kbd>oeis(String)</kbd></li> <li><kbd>oeis(VisibleList)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="OEIS lookup" href="_oeis.html">oeis</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">OnlineLookup.m2:159:0</span>.</p> </div> </div> </div> </body> </html>