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A051050 - 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>A051050 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A051050" 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=%2fA051050">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="A051050 - 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> A051050 </div> <div class=seqname> Numerator of the probability that the convex hull of n+2 randomly chosen points in the unit ball B^n has n+1 vertices. </div> </div> <div class=scorerefs> 2 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, 35, 9, 676039, 20000, 322476036831, 45956640625, 109701233401363445369, 3112866107675783424, 95848123849566788297513035239457, 43415602393213717594147325952</div> <div class=seqdatalinks> (<a href="/A051050/list">list</a>; <a href="/A051050/graph">graph</a>; <a href="/search?q=A051050+-id:A051050">refs</a>; <a href="/A051050/listen">listen</a>; <a href="/history?seq=A051050">history</a>; <a href="/search?q=id:A051050&fmt=text">text</a>; <a href="/A051050/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>0,2</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline><a href="/A051050/b051050.txt">Table of n, a(n) for n=0..10.</a></div> <div class=sectline>Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SylvestersFour-PointProblem.html">Sylvester's Four-Point Problem.</a></div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A051051" title="Denominators of the probability that the convex hull of n+2 randomly chosen points in the unit ball B^n has n+1 vertices (wi...">A051051</a>.</div> <div class=sectline>Sequence in context: <a href="/A034086" title="Decimal part of n-th root of a(n) starts with digit 9.">A034086</a> <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="/A267198" title="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, so...">A267198</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></div> <div class=sectline>Adjacent sequences: <a href="/A051047" title="For n > 5, a(n) = 15*a(n-1) - 15*a(n-2) + a(n-3); initial terms are 1, 3, 8, 120, 1680.">A051047</a> <a href="/A051048" title="Sqrt[a(n)a(n+1)+1] of A051047.">A051048</a> <a href="/A051049" title="Number of moves needed to solve an (n+1)-ring baguenaudier if two simultaneous moves of the two end rings are counted as one.">A051049</a> * <a href="/A051051" title="Denominators of the probability that the convex hull of n+2 randomly chosen points in the unit ball B^n has n+1 vertices (wi...">A051051</a> <a href="/A051052" title="a(n) = binomial(n, floor(n/5)).">A051052</a> <a href="/A051053" title="a(n) = binomial(n, floor(n/6)).">A051053</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>,<span title="numerators or denominators of sequence of rationals">frac</span></div> </div> </div> <div class=section> <div class=sectname>AUTHOR</div> <div class=sectbody> <div class=sectline><a href="/wiki/User:Eric_W._Weisstein">Eric W. Weisstein</a></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 2 21:25 EST 2024. Contains 378341 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>