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 A371643 #8 Apr 25 2024 09:09:54
%S A371643 1,2,116121600,52498561358549216844165257625600000000
%N A371643 a(n) = Product_{k=0..n} (n^2 + k^2)!.
%C A371643 The next term has 107 digits.
%F A371643 a(n) ~ 2^(4*n^3/3 + n^2 + 7*n/6 + 3/4) * exp(-26*n^3/9 + Pi*n^3/3 - 3*n^2/2 + Pi*n/4 - n) * Pi^((n+1)/2) * n^(8*n^3/3 + 3*n^2 + 4*n/3 + 1).
%t A371643 Table[Product[(n^2+k^2)!, {k, 0, n}], {n, 0, 5}]
%Y A371643 Cf. A296591, A371468, A371624.
%K A371643 nonn
%O A371643 0,2
%A A371643 _Vaclav Kotesovec_, Mar 31 2024