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 A372241 #9 Apr 23 2024 15:17:04
%S A372241 1,1,4,36,576,72000,15552000,5334336000,2731180032000,
%T A372241 1991030243328000,19910302433280000000,291506737925652480000000,
%U A372241 6044683717626329825280000000,172642211659125606139822080000000,6632223203096969285467405025280000000,335756299656784070076787379404800000000000
%N A372241 a(n) = Product_{j=1..n} j^(ceiling(sqrt(j))).
%H A372241 Vaclav Kotesovec, <a href="/A372241/a372241.jpg">Graph - the asymptotic ratio (1000 terms)</a>
%F A372241 a(n^2) = (n^2)!^(n+1) / A255322(n).
%F A372241 log(a(n)) ~ (2*n^(3/2)/3 + n/2 - sqrt(n)/6 + 1/4)*log(n) - 4*n^(3/2)/9 - n/2 + sqrt(n).
%F A372241 a(n^2) / A372240(n^2) = (n^2)! / n!^2 = A088021(n).
%t A372241 Table[Product[j^(Ceiling[Sqrt[j]]), {j, 1, n}], {n, 0, 15}]
%Y A372241 Cf. A255322, A372240.
%Y A372241 Cf. A088021.
%K A372241 nonn
%O A372241 0,3
%A A372241 _Vaclav Kotesovec_, Apr 23 2024