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 A384091 #7 May 19 2025 11:48:57
%S A384091 1,1,33,6968,4503078,6507545775,17683339661956,80849884332530600,
%T A384091 575530003415681613468,6023356562522188931288775,
%U A384091 88682105895482127774508529242,1773600518272635675832361778156960,46830898160739235037404595987069052560,1594447058825655577475889095097916983404652
%N A384091 a(n) = [x^n] Product_{k=1..n} (1 + k^2*x)^n.
%F A384091 a(n) ~ exp(n + 3/5) * n^(3*n - 1/2) / (sqrt(2*Pi) * 3^n).
%t A384091 Table[SeriesCoefficient[Product[(1+k^2*x)^n, {k, 0, n}], {x, 0, n}], {n, 0, 15}]
%Y A384091 Cf. A351507, A001044, A384092.
%K A384091 nonn
%O A384091 0,3
%A A384091 _Vaclav Kotesovec_, May 19 2025