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 A372240 #11 Apr 23 2024 15:16:59
%S A372240 1,1,2,6,96,2400,86400,4233600,270950400,197522841600,197522841600000,
%T A372240 262902902169600000,454296214949068800000,998088784243104153600000,
%U A372240 2738755623963077797478400000,9243300230875387566489600000000,605768923930649399557462425600000000
%N A372240 a(n) = Product_{j=1..n} j^(floor(sqrt(j))).
%H A372240 Vaclav Kotesovec, <a href="/A372240/a372240.jpg">Graph - the asymptotic ratio of log(a(n)) and log(A372241(n))</a>
%F A372240 a(n^2) = A372241(n^2) * n!^2 / (n^2)!.
%F A372240 a(n^2) = (n^2)!^n * n!^2 / A255322(n).
%F A372240 log(a(n)) ~ (2*n^(3/2)/3 - n/2 - 5*sqrt(n)/6 + 1/4)*log(n) - 4*n^(3/2)/9 + n/2 - sqrt(n).
%t A372240 Table[Product[j^(Floor[Sqrt[j]]), {j, 1, n}], {n, 0, 17}]
%Y A372240 Cf. A255322, A372241.
%K A372240 nonn
%O A372240 0,3
%A A372240 _Vaclav Kotesovec_, Apr 23 2024