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.

A022620 Expansion of Product_{m>=1} (1+q^m)^(-25).

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%I A022620 #12 Feb 15 2018 08:12:14
%S A022620 1,-25,300,-2325,13275,-60655,235525,-811975,2558575,-7502175,
%T A022620 20713560,-54345175,136483700,-329961200,771284950,-1749490965,
%U A022620 3862641850,-8322360350,17536187475,-36204137625,73353404555,-146061623800,286183499350,-552361219950,1051231017350
%N A022620 Expansion of Product_{m>=1} (1+q^m)^(-25).
%H A022620 G. C. Greubel, <a href="/A022620/b022620.txt">Table of n, a(n) for n = 0..1000</a>
%F A022620 a(n) ~ (-1)^n * sqrt(5) * exp(5*Pi*sqrt(n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%t A022620 nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^25, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K A022620 sign
%O A022620 0,2
%A A022620 _N. J. A. Sloane_