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 A371624 #18 Apr 01 2024 08:42:00
%S A371624 1,1,144,1755758592000,66052111513207347990207922176000000000
%N A371624 a(n) = Product_{k=0..n} (n^2 - k^2)!.
%C A371624 The next term has 88 digits.
%F A371624 a(n) = (n^2)!^(n+1) / (A255322(n) * A371603(n)).
%F A371624 a(n) ~ c * A^(2*n) * 2^(4*n*(n^2 + 1)/3) * Pi^(n/2) * n^(4*n^3/3 + n^2 + 5*n/6 + 1/4) / exp(16*n^3/9 + n^2/2 + n), where c = 1.291409... = sqrt(2*Pi) / (A255504 * c from A371603) and A is the Glaisher-Kinkelin constant A074962.
%t A371624 Table[Product[((2*n-k)*k)!, {k, 0, n}], {n, 0, 6}]
%t A371624 Table[Product[(n^2 - k^2)!, {k, 0, n}], {n, 0, 6}]
%Y A371624 Cf. A001142, A255322, A296591, A362288, A371603.
%K A371624 nonn
%O A371624 0,3
%A A371624 _Vaclav Kotesovec_, Mar 30 2024