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 A371603 #31 Apr 01 2024 08:38:04
%S A371603 1,1,4,1134,333132800,1319947441510156250,
%T A371603 876533819183888230348458418944000,
%U A371603 1185269534290897564185384010731432113450477770983533184
%N A371603 a(n) = Product_{k=0..n} binomial(n^2, k^2).
%F A371603 a(n) = (n^2)!^(n+1) / (A255322(n) * A371624(n)).
%F A371603 a(n) ~ c * exp(2*n*(2*n^2/3 + 1)) / (A^(2*n) * 2^(4*n*(n^2 + 1)/3) * Pi^(n/2) * n^(7*n/6 - 1/4)), where c = 0.6367427... and A is the Glaisher-Kinkelin constant A074962.
%t A371603 Table[Product[Binomial[n^2, k^2], {k, 0, n}], {n, 0, 8}]
%Y A371603 Cf. A001142, A255322, A272095, A296591, A362288, A371624, A371646.
%K A371603 nonn
%O A371603 0,3
%A A371603 _Vaclav Kotesovec_, Mar 30 2024