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 A382826 #10 Apr 06 2025 05:07:30
%S A382826 1,2,17,337,12152,696076,58136500,6673107316,1008077743552,
%T A382826 193915431216576,46281189562936704,13420575661095930240,
%U A382826 4647502230640182602496,1894412230202331489632256,897850527136410029486517504,489578762044356075253626875136
%N A382826 a(n) = Sum_{k=0..n} (k! * Stirling1(n+1,k+1))^2.
%F A382826 a(n) = (n!)^2 * [(x*y)^n] 1 / ( (1-x) * (1-y) * (1 - log(1-x) * log(1-y)) ).
%F A382826 a(n) = (n!)^2 * [(x*y)^n] 1 / ( (1+x) * (1+y) * (1 - log(1+x) * log(1+y)) ).
%o A382826 (PARI) a(n) = sum(k=0, n, (k!*stirling(n+1, k+1, 1))^2);
%Y A382826 Main diagonal of A382823.
%Y A382826 Cf. A048163, A382792.
%K A382826 nonn
%O A382826 0,2
%A A382826 _Seiichi Manyama_, Apr 06 2025