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.
%I A304460 #6 May 13 2018 05:16:54 %S A304460 1,1,44,4410,905840,318906400,172185088824,132357574570221, %T A304460 137406570363495360,185242628827767255255,314645673306845990409300, %U A304460 657405676947400829561901359,1656968286301847988118098735168,4957425610652588047512198547937050 %N A304460 Coefficient of x^n in Product_{k>=1} 1/(1-x^k)^(n^3). %C A304460 In general, for m>=3, coefficient of x^n in Product_{k>=1} 1/(1-x^k)^(n^m) is asymptotic to n^(m*n)/n!. %F A304460 a(n) ~ exp(n) * n^(2*n - 1/2) / sqrt(2*Pi). %t A304460 nmax = 20; Table[SeriesCoefficient[Product[1/(1-x^k)^(n^3), {k, 1, n}], {x, 0, n}], {n, 0, nmax}] %t A304460 nmax = 20; Table[SeriesCoefficient[1/QPochhammer[x]^(n^3), {x, 0, n}], {n, 0, nmax}] %Y A304460 Cf. A008485, A023872, A304446, A304459. %K A304460 nonn %O A304460 0,3 %A A304460 _Vaclav Kotesovec_, May 13 2018