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A009793 - 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>A009793 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A009793" 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=%2fA009793">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="A009793 - 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> A009793 </div> <div class=seqname> Expansion of tanh(sin(x))*cos(x). </div> </div> <div class=scorerefs> 1 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, -6, 72, -1904, 89344, -6445824, 660602880, -91175548928, 16301080281088, -3664597991424000, 1011727950085619712, -336514395583207178240, 132722531082033166286848, -61245140659205655654039552</div> <div class=seqdatalinks> (<a href="/A009793/list">list</a>; <a href="/A009793/graph">graph</a>; <a href="/search?q=A009793+-id:A009793">refs</a>; <a href="/A009793/listen">listen</a>; <a href="/history?seq=A009793">history</a>; <a href="/search?q=id:A009793&fmt=text">text</a>; <a href="/A009793/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>Vincenzo Librandi, <a href="/A009793/b009793.txt">Table of n, a(n) for n = 0..100</a></div> </div> </div> <div class=section> <div class=sectname>MATHEMATICA</div> <div class=sectbody> <div class=sectline>With[{nn=30}, Take[CoefficientList[Series[Tanh[Sin[x]]Cos[x], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* <a href="/wiki/User:Harvey_P._Dale">Harvey P. Dale</a>, Jun 18 2013 *)</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Sequence in context: <a href="/A099029" title="Main diagonal of array A099028.">A099029</a> <a href="/A120331" title="Number of polynomials in two noncommuting variables over the field F_2 having complexity or rank n.">A120331</a> <a href="/A009523" title="Expansion of sin(tanh(x))*cos(x).">A009523</a> * <a href="/A259212" title="A total of n married couples, including a mathematician M and his wife W, are to be seated at the 2n chairs around a circula...">A259212</a> <a href="/A279234" title="Denominators of coefficients in expansion of 3/(2 + cos(sqrt(x))).">A279234</a> <a href="/A132878" title="Column 1 of triangle A132875.">A132878</a></div> <div class=sectline>Adjacent sequences: <a href="/A009790" title="Expansion of tanh(sin(log(1+x))).">A009790</a> <a href="/A009791" title="E.g.f. tanh(sin(sin(x))) (odd powers only).">A009791</a> <a href="/A009792" title="Expansion of tanh(sin(tan(x))).">A009792</a> * <a href="/A009794" title="Expansion of tanh(sin(x))*exp(x).">A009794</a> <a href="/A009795" title="Expansion of tanh(sin(x))*sin(x).">A009795</a> <a href="/A009796" title="Expansion of tanh(sin(x))*tan(x).">A009796</a></div> </div> </div> <div class=section> <div class=sectname>KEYWORD</div> <div class=sectbody> <div class=sectline><span title="sequence contains negative numbers">sign</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></div> </div> </div> <div class=section> <div class=sectname>EXTENSIONS</div> <div class=sectbody> <div class=sectline>Extended with signs by <a href="/wiki/User:Olivier_G茅rard">Olivier G茅rard</a>, Mar 15 1997</div> <div class=sectline>Prior Mathematica program replaced by <a href="/wiki/User:Harvey_P._Dale">Harvey P. Dale</a>, Jun 18 2013</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 17:38 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>