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.

A304448 Coefficient of x^n in Product_{k>=1} ((1+x^k)/(1-x^k))^(n^2).

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%I A304448 #6 May 13 2018 03:02:42
%S A304448 1,2,40,1320,61984,3797560,287566368,25957422400,2721948311680,
%T A304448 325260627848442,43635601119149040,6494550360714973304,
%U A304448 1062063969900788407680,189301256401392643093560,36526821128512112807216192,7585918627122817713267856320
%N A304448 Coefficient of x^n in Product_{k>=1} ((1+x^k)/(1-x^k))^(n^2).
%H A304448 Vaclav Kotesovec, <a href="/A304448/b304448.txt">Table of n, a(n) for n = 0..300</a>
%F A304448 a(n) ~ 2^(n - 1/2) * exp(n + 1/2) * n^(n - 1/2) / sqrt(Pi).
%t A304448 nmax = 20; Table[SeriesCoefficient[Product[((1+x^k)/(1-x^k))^(n^2), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]
%t A304448 nmax = 20; Table[SeriesCoefficient[(QPochhammer[-1, x]/2/QPochhammer[x])^(n^2), {x, 0, n}], {n, 0, nmax}]
%Y A304448 Cf. A206622, A270919, A304445, A304446, A304447.
%K A304448 nonn
%O A304448 0,2
%A A304448 _Vaclav Kotesovec_, May 12 2018