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 A382794 #6 Apr 05 2025 10:24:29
%S A382794 1,1,3,2,-418,-14676,-234344,18565056,2659703616,169046742960,
%T A382794 -6539356064736,-4061128974843744,-672969012637199040,
%U A382794 -19289566159655581440,27323548725052131528960,10157639436460221570630144,1433264952547826545065237504,-520046813680980959472490690560
%N A382794 a(n) = Sum_{k=0..n} Stirling1(n,k) * Stirling2(n,k) * (k!)^2.
%F A382794 a(n) = (n!)^2 * [(x*y)^n] 1 / (1 - (exp(x) - 1) * log(1 + y)).
%t A382794 Table[Sum[StirlingS1[n, k] StirlingS2[n, k] (k!)^2, {k, 0, n}], {n, 0, 17}]
%t A382794 Table[(n!)^2 SeriesCoefficient[1/(1 - (Exp[x] - 1) Log[1 + y]), {x, 0, n}, {y, 0, n}], {n, 0, 17}]
%Y A382794 Cf. A000670, A006252, A047792, A048144, A064618, A192554, A192564, A382792.
%K A382794 sign
%O A382794 0,3
%A A382794 _Ilya Gutkovskiy_, Apr 05 2025