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 A372150 #6 Apr 21 2024 11:40:19
%S A372150 1,1,16,161243136,1953714516870533385423459188736,
%T A372150 18637697331204402735774894643901575833450808531469488619520000000000000000000000000
%N A372150 a(n) = Product_{k=1..n} k!^(k^2).
%F A372150 a(n) ~ (2*Pi)^(n^3/6 + n^2/4 + n/12) * n^(n^4/4 + 2*n^3/3 + n^2/2 + n/12 - 1/90) / (A^(1/6) * exp(5*n^4/16 + 5*n^3/9 + n^2/8 - n/12 - zeta(3)/(8*Pi^2) - zeta'(-3)/3 - 13/720)), where A is the Glaisher-Kinkelin constant A074962, zeta(3) = A002117, zeta'(-3) = A259068.
%t A372150 Table[Product[k!^(k^2), {k, 1, n}], {n, 0, 6}]
%Y A372150 Cf. A051675, A255269.
%K A372150 nonn
%O A372150 0,3
%A A372150 _Vaclav Kotesovec_, Apr 20 2024