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.

A022618 Expansion of Product_{m>=1} (1+q^m)^(-23).

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%I A022618 #13 Apr 05 2017 11:29:49
%S A022618 1,-23,253,-1794,9384,-39491,142462,-460483,1370041,-3810479,10013533,
%T A022618 -25082512,60303171,-139870107,314254704,-686285914,1461009887,
%U A022618 -3039222369,6190256915,-12366732828,24269855093
%N A022618 Expansion of Product_{m>=1} (1+q^m)^(-23).
%H A022618 Seiichi Manyama, <a href="/A022618/b022618.txt">Table of n, a(n) for n = 0..10000</a>
%F A022618 a(n) ~ (-1)^n * 23^(1/4) * exp(Pi*sqrt(23*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%F A022618 a(0) = 1, a(n) = -(23/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Apr 05 2017
%t A022618 nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^23, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K A022618 sign
%O A022618 0,2
%A A022618 _N. J. A. Sloane_