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A299749 - OEIS
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> <html> <head> <link rel="stylesheet" href="/styles.css"> <meta name="format-detection" content="telephone=no"> <meta http-equiv="content-type" content="text/html; charset=utf-8"> <meta name=viewport content="width=device-width, initial-scale=1"> <meta name="keywords" content="OEIS,integer sequences,Sloane" /> <title>A299749 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A299749" function redir() { var host = document.location.hostname; if(host != "oeis.org" && host != "127.0.0.1" && !/^([0-9.]+)$/.test(host) && host != "localhost" && host != "localhost.localdomain") { document.location = "https"+":"+"//"+"oeis"+".org/" + myURL; } } function sf() { if(document.location.pathname == "/" && document.f) document.f.q.focus(); } </script> </head> <body bgcolor=#ffffff onload="redir();sf()"> <div class=loginbar> <div class=login> <a href="/login?redirect=%2fA299749">login</a> </div> </div> <div class=center><div class=top> <center> <div class=donors> The OEIS is supported by <a href="http://oeisf.org/#DONATE">the many generous donors to the OEIS Foundation</a>. </div> <div class=banner> <a href="/"><img class=banner border="0" width="600" src="/banner2021.jpg" alt="A299749 - OEIS"></a> </div> </center> </div></div> <div class=center><div class=pagebody> <div class=searchbarcenter> <form name=f action="/search" method="GET"> <div class=searchbargreet> <div class=searchbar> <div class=searchq> <input class=searchbox maxLength=1024 name=q value="" title="Search Query"> </div> <div class=searchsubmit> <input type=submit value="Search" name=go> </div> <div class=hints> <span class=hints><a href="/hints.html">Hints</a></span> </div> </div> <div class=searchgreet> (Greetings from <a href="/welcome">The On-Line Encyclopedia of Integer Sequences</a>!) </div> </div> </form> </div> <div class=sequence> <div class=space1></div> <div class=line></div> <div class=seqhead> <div class=seqnumname> <div class=seqnum> A299749 </div> <div class=seqname> Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. </div> </div> <div class=scorerefs> 1 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>8, 88, 375, 1998, 11733, 64703, 358219, 2010841, 11248655, 62879257, 351925463, 1969646529, 11022486199, 61689352653, 345264233247, 1932370500069, 10815131485601, 60530599812081, 338780442090221, 1896102910584521</div> <div class=seqdatalinks> (<a href="/A299749/list">list</a>; <a href="/A299749/graph">graph</a>; <a href="/search?q=A299749+-id:A299749">refs</a>; <a href="/A299749/listen">listen</a>; <a href="/history?seq=A299749">history</a>; <a href="/search?q=id:A299749&fmt=text">text</a>; <a href="/A299749/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>1,1</div> </div> </div> <div class=section> <div class=sectname>COMMENTS</div> <div class=sectbody> <div class=sectline>Column 4 of <a href="/A299753" title="T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper l...">A299753</a>.</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline>R. H. Hardin, <a href="/A299749/b299749.txt">Table of n, a(n) for n = 1..210</a></div> <div class=sectline>R. H. Hardin, <a href="/A299749/a299749.txt">Empirical recurrence of order 65</a></div> </div> </div> <div class=section> <div class=sectname>FORMULA</div> <div class=sectbody> <div class=sectline>Empirical recurrence of order 65 (see link above)</div> </div> </div> <div class=section> <div class=sectname>EXAMPLE</div> <div class=sectbody> <div class=sectline>Some solutions for n=5</div> <div class=sectline>..0..1..1..0. .0..1..1..0. .0..1..0..0. .0..1..1..0. .0..1..0..1</div> <div class=sectline>..0..0..0..1. .0..1..0..1. .1..1..1..1. .1..0..1..1. .0..1..0..1</div> <div class=sectline>..0..1..0..1. .0..0..0..1. .0..0..0..0. .0..1..1..0. .0..1..1..0</div> <div class=sectline>..1..0..1..1. .1..0..0..0. .0..1..1..1. .1..1..1..1. .1..1..1..0</div> <div class=sectline>..0..1..1..0. .0..1..0..1. .1..1..0..0. .1..0..0..1. .0..0..1..1</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A299753" title="T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper l...">A299753</a>.</div> <div class=sectline>Sequence in context: <a href="/A299848" title="Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left ele...">A299848</a> <a href="/A299004" title="Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left elemen...">A299004</a> <a href="/A299671" title="Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left ele...">A299671</a> * <a href="/A300263" title="Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left ...">A300263</a> <a href="/A367278" title="Place n equally spaced points on each side of a square, and join each of these points by a chord to the 3*n new points on th...">A367278</a> <a href="/A030984" title="2-automorphic numbers: final digits of 2*n^2 agree with n.">A030984</a></div> <div class=sectline>Adjacent sequences: <a href="/A299746" title="T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper l...">A299746</a> <a href="/A299747" title="Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left e...">A299747</a> <a href="/A299748" title="Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left ele...">A299748</a> * <a href="/A299750" title="Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left ele...">A299750</a> <a href="/A299751" title="Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left ele...">A299751</a> <a href="/A299752" title="Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left ele...">A299752</a></div> </div> </div> <div class=section> <div class=sectname>KEYWORD</div> <div class=sectbody> <div class=sectline><span title="a sequence of nonnegative numbers">nonn</span></div> </div> </div> <div class=section> <div class=sectname>AUTHOR</div> <div class=sectbody> <div class=sectline><a href="/wiki/User:R._H._Hardin">R. H. Hardin</a>, Feb 18 2018</div> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <div class=sectline>approved</div> </div> </div> </div> <div class=space10></div> </div> </div></div> <p> <div class=footerpad></div> <div class=footer> <center> <div class=bottom> <div class=linksbar> <a href="/">Lookup</a> <a href="/wiki/Welcome"><font color="red">Welcome</font></a> <a href="/wiki/Main_Page"><font color="red">Wiki</font></a> <a href="/wiki/Special:RequestAccount">Register</a> <a href="/play.html">Music</a> <a href="/plot2.html">Plot 2</a> <a href="/demo1.html">Demos</a> <a href="/wiki/Index_to_OEIS">Index</a> <a href="/webcam">WebCam</a> <a href="/Submit.html">Contribute</a> <a href="/eishelp2.html">Format</a> <a href="/wiki/Style_Sheet">Style Sheet</a> <a href="/transforms.html">Transforms</a> <a href="/ol.html">Superseeker</a> <a href="/recent">Recents</a> </div> <div class=linksbar> <a href="/community.html">The OEIS Community</a> </div> <div class=linksbar> Maintained by <a href="http://oeisf.org">The OEIS Foundation Inc.</a> </div> <div class=dbinfo>Last modified February 21 09:57 EST 2025. Contains 381084 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>