cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A009611 Expansion of sinh(tan(x)*x).

This page as a plain text file.
%I A009611 #17 Jan 25 2015 09:47:24
%S A009611 0,2,8,216,8896,553120,48069504,5564225408,827281160192,
%T A009611 153537251480064,34761966006691840,9422306473314752512,
%U A009611 3010196845995598430208,1118714469509146379657216,478278367951534466053799936,232972682112352062801913282560
%N A009611 Expansion of sinh(tan(x)*x).
%H A009611 Vaclav Kotesovec, <a href="/A009611/b009611.txt">Table of n, a(n) for n = 0..238</a>
%H A009611 Vaclav Kotesovec, <a href="/A009611/a009611.jpg">Graph - asymptotic ratio</a>
%F A009611 a(n) ~ n^(2*n-1/4) * 2^(4*n-3/4) * exp(2*sqrt(2*n)-2*n-1/2) / Pi^(2*n) * (1 - (Pi^2-1)/(12*sqrt(2*n))). - _Vaclav Kotesovec_, Jan 24 2015
%t A009611 With[{nn=40},Take[CoefficientList[Series[Sinh[Tan[x]*x],{x,0,nn}],x] Range[ 0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Jun 23 2014 *)
%K A009611 nonn
%O A009611 0,2
%A A009611 _R. H. Hardin_
%E A009611 Extended and signs tested Mar 15 1997 by _Olivier Gérard_.
%E A009611 Prior Mathematica program replaced by and more terms from _Harvey P. Dale_, Jun 23 2014