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A086235 - 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>A086235 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A086235" 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=%2fA086235">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="A086235 - 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> A086235 </div> <div class=seqname> Decimal expansion of probability that a random walk on a 7-d lattice returns to the origin. </div> </div> <div class=scorerefs> 11 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>0, 8, 5, 8, 4, 4, 9, 3, 4, 1, 1, 3, 3, 7, 9, 0, 0, 9, 1, 8, 8, 1, 0, 8, 1, 3, 4, 7, 8, 5, 1, 7, 3, 5, 5, 6, 6, 4, 0, 6, 9, 7, 8, 9, 6, 3, 2, 4, 9, 6, 4, 7, 6, 9, 6, 4, 3, 2, 4, 6, 7, 3, 2, 1, 3, 9, 1, 0, 8, 4, 2, 5, 9, 3, 3, 3, 6, 9, 3, 1, 2, 3, 9, 2, 5, 3, 1, 6</div> <div class=seqdatalinks> (<a href="/A086235/list">list</a>; <a href="/A086235/constant">constant</a>; <a href="/A086235/graph">graph</a>; <a href="/search?q=A086235+-id:A086235">refs</a>; <a href="/A086235/listen">listen</a>; <a href="/history?seq=A086235">history</a>; <a href="/search?q=id:A086235&fmt=text">text</a>; <a href="/A086235/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>REFERENCES</div> <div class=sectbody> <div class=sectline>Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.9, p. 323.</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline>Marc Mezzarobba, <a href="/A086235/b086235.txt">Table of n, a(n) for n = 0..9999</a></div> <div class=sectline>Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PolyasRandomWalkConstants.html">P贸lya's Random Walk Constants</a>.</div> </div> </div> <div class=section> <div class=sectname>FORMULA</div> <div class=sectbody> <div class=sectline>Equals 1 - 1/<a href="/A242815" title="Decimal expansion of the expected number of returns to the origin of a random walk on a 7-d lattice.">A242815</a>. - <a href="/wiki/User:Amiram_Eldar">Amiram Eldar</a>, Aug 28 2020</div> </div> </div> <div class=section> <div class=sectname>EXAMPLE</div> <div class=sectbody> <div class=sectline>0.08584493411337900918810813478517355664...</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A086230" title="Decimal expansion of probability that a random walk on a 3-D lattice returns to the origin.">A086230</a>, <a href="/A086232" title="Decimal expansion of probability that a random walk on a 4-d lattice returns to the origin.">A086232</a>, <a href="/A086233" title="Decimal expansion of the probability that a random walk on the 5-d simple cubic (hypercubic) lattice returns to the origin.">A086233</a>, <a href="/A086234" title="Decimal expansion of probability that a random walk on a 6-d lattice returns to the origin.">A086234</a>, <a href="/A086236" title="Decimal expansion of probability that a random walk on an 8-d lattice returns to the origin.">A086236</a>, <a href="/A242815" title="Decimal expansion of the expected number of returns to the origin of a random walk on a 7-d lattice.">A242815</a>.</div> <div class=sectline>Sequence in context: <a href="/A357106" title="Decimal expansion of the real root of 2*x^3 + x^2 - 2.">A357106</a> <a href="/A119812" title="Decimal expansion of the constant defined by binary sums involving Beatty sequences: c = Sum_{n>=1} A049472(n)/2^n = Sum_{n>...">A119812</a> <a href="/A153799" title="Decimal expansion of 4 - Pi.">A153799</a> * <a href="/A157742" title="A006094(n+3) mod 9.">A157742</a> <a href="/A200134" title="Decimal expansion of the negated value of the digamma function at 3/4.">A200134</a> <a href="/A021542" title="Decimal expansion of 1/538.">A021542</a></div> <div class=sectline>Adjacent sequences: <a href="/A086232" title="Decimal expansion of probability that a random walk on a 4-d lattice returns to the origin.">A086232</a> <a href="/A086233" title="Decimal expansion of the probability that a random walk on the 5-d simple cubic (hypercubic) lattice returns to the origin.">A086233</a> <a href="/A086234" title="Decimal expansion of probability that a random walk on a 6-d lattice returns to the origin.">A086234</a> * <a href="/A086236" title="Decimal expansion of probability that a random walk on an 8-d lattice returns to the origin.">A086236</a> <a href="/A086237" title="Decimal expansion of Porter's constant.">A086237</a> <a href="/A086238" title="Decimal expansion of Omega prime-generating constant.">A086238</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="a decimal expansion of a number"><a href="/A086235/constant">cons</a></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>, Jul 12 2003</div> </div> </div> <div class=section> <div class=sectname>EXTENSIONS</div> <div class=sectbody> <div class=sectline>More terms using the data at <a href="/A242815" title="Decimal expansion of the expected number of returns to the origin of a random walk on a 7-d lattice.">A242815</a> added by <a href="/wiki/User:Amiram_Eldar">Amiram Eldar</a>, Aug 28 2020</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 April 7 00:47 EDT 2025. Contains 382550 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>