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.

A022697 Expansion of Product_{m>=1} 1/(1 + m*q^m)^5.

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%I A022697 #12 Jul 20 2018 04:21:12
%S A022697 1,-5,5,0,35,-76,35,-155,455,-720,1369,-1935,4415,-10405,12990,-22512,
%T A022697 54405,-92480,143150,-253015,488512,-859795,1377670,-2332365,4276230,
%U A022697 -7666511,12092880,-19796225,36845455,-62053775
%N A022697 Expansion of Product_{m>=1} 1/(1 + m*q^m)^5.
%H A022697 G. C. Greubel, <a href="/A022697/b022697.txt">Table of n, a(n) for n = 0..1000</a>
%F A022697 G.f.: exp(-5*Sum_{j>=1} Sum_{k>=1} (-1)^(j+1)*k^j*x^(j*k)/j). - _Ilya Gutkovskiy_, Feb 08 2018
%t A022697 With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-5, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 19 2018 *)
%o A022697 (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-5)) \\ _G. C. Greubel_, Jul 19 2018
%Y A022697 Column k=5 of A297325.
%K A022697 sign
%O A022697 0,2
%A A022697 _N. J. A. Sloane_