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 A384504 #12 Jun 01 2025 03:46:52
%S A384504 1,1,11,118124,5056995703824,2677503356427960382362624,
%T A384504 43103055200236892507668550744976954163200,
%U A384504 44206966751754314698168885550132827351582613259130314424320000
%N A384504 a(n) = Stirling1(n^2, n).
%C A384504 a(n) is the number of permutations of n^2 objects with n cycles.
%F A384504 a(n)^(1/n^2) ~ exp(-1)*n^2.
%F A384504 a(n) ~ n^((n-1)*(3*n+1)) * w^(n^2) / (sqrt(2*Pi*(w-1)) * exp(n*(n-1)) * (n*w-1)^(n*(n-1))), where w = -LambertW(-1, -exp(-1/n)/n).
%t A384504 Table[StirlingS1[n^2, n], {n, 0, 10}]
%Y A384504 Cf. A008275, A048994, A218141.
%K A384504 nonn
%O A384504 0,3
%A A384504 _Vaclav Kotesovec_, May 31 2025