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A132786 - 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>A132786 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A132786" 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=%2fA132786">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="A132786 - 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> A132786 </div> <div class=seqname> Column sums of triangle <a href="/A132784" title="Triangle, read by rows of n*(n+1)/2 + 1 terms, where row n begins with n zeros followed by reverse partial sums of the prior...">A132784</a>. </div> </div> <div class=scorerefs> 2 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, 1, 1, 2, 4, 13, 62, 450, 4957, 76044, 1541127, 39728450, 1267255834, 48961239415, 2252141776893, 121592967332507, 7613205277912690, 547136339195250416, 44730865096435725972, 4127594197552951257737, 426926666616809171606528</div> <div class=seqdatalinks> (<a href="/A132786/list">list</a>; <a href="/A132786/graph">graph</a>; <a href="/search?q=A132786+-id:A132786">refs</a>; <a href="/A132786/listen">listen</a>; <a href="/history?seq=A132786">history</a>; <a href="/search?q=id:A132786&fmt=text">text</a>; <a href="/A132786/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>0,4</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline><a href="/A132786/b132786.txt">Table of n, a(n) for n=0..20.</a></div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A132784" title="Triangle, read by rows of n*(n+1)/2 + 1 terms, where row n begins with n zeros followed by reverse partial sums of the prior...">A132784</a> (triangle), <a href="/A132785" title="Main diagonal of triangle A132784.">A132785</a> (main diagonal).</div> <div class=sectline>Sequence in context: <a href="/A139149" title="a(n) = (n!+2)/2.">A139149</a> <a href="/A297861" title="Number of nX3 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero.">A297861</a> <a href="/A298128" title="Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.">A298128</a> * <a href="/A298065" title="Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.">A298065</a> <a href="/A298714" title="Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.">A298714</a> <a href="/A306445" title="Number of collections of subsets of {1, 2, ..., n} that are closed under union and intersection.">A306445</a></div> <div class=sectline>Adjacent sequences: <a href="/A132783" title="Numbers n with the property that the difference between the two largest proper divisors of n equals the sum of proper diviso...">A132783</a> <a href="/A132784" title="Triangle, read by rows of n*(n+1)/2 + 1 terms, where row n begins with n zeros followed by reverse partial sums of the prior...">A132784</a> <a href="/A132785" title="Main diagonal of triangle A132784.">A132785</a> * <a href="/A132787" title="Triangle read by rows: T(n,k) = 2*A001263(n,k) - 1.">A132787</a> <a href="/A132788" title="a(n) = 2*binomial(2*n,n)/(n+1) - n.">A132788</a> <a href="/A132789" title="Triangle read by rows: T(n,k) = A007318(n-1, k-1) + A001263(n, k) - 1.">A132789</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:Paul_D._Hanna">Paul D. Hanna</a>, Aug 29 2007</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 17 19:03 EST 2025. Contains 380975 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>