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A267198 - 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>A267198 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A267198" 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=%2fA267198">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="A267198 - OEIS"></a> </div> <div class="motdbox"> <div class="motd"> <p>Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).</p> </div> <div class="donate"> <div id="donate-button-container"> <div id="donate-button"></div> <script src="https://www.paypalobjects.com/donate/sdk/donate-sdk.js" charset="UTF-8"></script> <script> PayPal.Donation.Button({ env:'production', hosted_button_id:'SVPGSDDCJ734A', image: { src:'https://www.paypalobjects.com/en_US/i/btn/btn_donateCC_LG.gif', alt:'Donate with PayPal button', title:'PayPal - The safer, easier way to pay online!', } }).render('#donate-button'); </script> </div> <a href="https://oeisf.org/donate/"> <strong>Other ways to Give</strong> </a> </div> </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> A267198 </div> <div class=seqname> Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any north, southwest or northwest neighbors modulo n and the upper left element equal to 0. </div> </div> <div class=scorerefs> 0 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, 35, 11, 23, 47, 92, 166, 285, 460, 717, 1068, 1554, 2187, 3026, 4082, 5436</div> <div class=seqdatalinks> (<a href="/A267198/list">list</a>; <a href="/A267198/graph">graph</a>; <a href="/search?q=A267198+-id:A267198">refs</a>; <a href="/A267198/listen">listen</a>; <a href="/history?seq=A267198">history</a>; <a href="/search?q=id:A267198&fmt=text">text</a>; <a href="/A267198/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>1,2</div> </div> </div> <div class=section> <div class=sectname>COMMENTS</div> <div class=sectbody> <div class=sectline>Superdiagonal 2 of <a href="/A267197" title="T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, southwest...">A267197</a>.</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline><a href="/A267198/b267198.txt">Table of n, a(n) for n=1..16.</a></div> </div> </div> <div class=section> <div class=sectname>EXAMPLE</div> <div class=sectbody> <div class=sectline>Some solutions for n=4</div> <div class=sectline>..0..1..2..3..3..0....0..1..2..2..3..0....0..1..1..2..3..0....0..1..1..2..3..3</div> <div class=sectline>..1..1..2..3..0..0....1..1..2..3..3..0....0..1..2..2..3..0....0..1..1..2..3..3</div> <div class=sectline>..1..2..2..3..0..1....1..1..2..3..3..0....1..1..2..3..3..0....0..1..2..2..3..0</div> <div class=sectline>..2..2..3..3..0..1....1..2..2..3..0..0....1..2..2..3..3..0....0..1..2..2..3..0</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A267197" title="T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, southwest...">A267197</a>.</div> <div class=sectline>Sequence in context: <a href="/A277079" title="Least number k for which k^n contains n as a substring and n^k contains k as a substring.">A277079</a> <a href="/A248477" title="Consider the partition of the positive odd integers into minimal blocks such that concatenation of numbers in each block is ...">A248477</a> <a href="/A051050" title="Numerator of the probability that the convex hull of n+2 randomly chosen points in the unit ball B^n has n+1 vertices.">A051050</a> * <a href="/A267140" title="Least m>0 for which m + n^2 is a square and m + triangular(n) is a triangular number (A000217).">A267140</a> <a href="/A348893" title="a(n) = 840*(2*n)!/((n + 4)!*n!).">A348893</a> <a href="/A088830" title="a(n) = Min{x : sigma(x) = n*phi(x), x is not a prime}, the least nonprime solutions to sigma(x) = n*phi(x); special balanced...">A088830</a></div> <div class=sectline>Adjacent sequences: <a href="/A267195" title="The j-invariants in A032354 are perfect cubes, except for two terms that have an extra factor of 2 or 3. Ignore these two ex...">A267195</a> <a href="/A267196" title="Labeled graded semiorders.">A267196</a> <a href="/A267197" title="T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, southwest...">A267197</a> * <a href="/A267199" title="Number of nX(n+3) arrays of permutations of n+3 copies of 0..n-1 with every element equal to or 1 greater than any north, so...">A267199</a> <a href="/A267200" title="Number of nX(n+4) arrays of permutations of n+4 copies of 0..n-1 with every element equal to or 1 greater than any north, so...">A267200</a> <a href="/A267201" title="Number of n X (n+5) arrays of permutations of n+5 copies of 0..n-1 with every element equal to or 1 greater than any north, ...">A267201</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>, Jan 11 2016</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 December 11 02:47 EST 2024. Contains 378602 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>