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 A384044 #4 May 18 2025 04:09:59
%S A384044 1,2,162,75672,104312000,317309605650,1803288012589602,
%T A384044 17180843554017736544,254292459616733559570432,
%U A384044 5525508321588276184345621650,168733575675064578625834983478850,6994229599670887851052241626545021912,382562895157136117988572795915676719695680
%N A384044 a(n) = [x^n] Product_{k=1..n} (1 + k^3*x) / (1 - k^3*x).
%F A384044 a(n) ~ c * d^n * n!^3 / n^2, where d = 37.604795475701444958019770120055586495991039059348094619704... and c = 0.063895861310548119570865800164582089372152350471371583403...
%t A384044 Table[SeriesCoefficient[Product[(1+k^3*x)/(1-k^3*x), {k, 1, n}], {x, 0, n}], {n, 0, 12}]
%Y A384044 Cf. A000442, A351800.
%Y A384044 Cf. A350366, A384043, A351764.
%K A384044 nonn
%O A384044 0,2
%A A384044 _Vaclav Kotesovec_, May 18 2025