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 A375671 #12 Sep 01 2024 09:35:28
%S A375671 1,0,4,6,88,420,5148,44520,587424,7203168,109106640,1689621120,
%T A375671 29620245312,546547098240,10989238893696,233884517368320,
%U A375671 5324618721070080,128058198711690240,3260308438558826496,87336328336058603520,2459915920512955929600
%N A375671 Expansion of e.g.f. 1 / (1 + x * log(1 - x))^2.
%F A375671 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052830.
%F A375671 a(n) = n! * Sum_{k=0..floor(n/2)} (k+1)! * |Stirling1(n-k,k)|/(n-k)!.
%o A375671 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x))^2))
%o A375671 (PARI) a(n) = n!*sum(k=0, n\2, (k+1)!*abs(stirling(n-k, k, 1))/(n-k)!);
%Y A375671 Cf. A052830, A375672.
%Y A375671 Cf. A052801, A375660.
%K A375671 nonn
%O A375671 0,3
%A A375671 _Seiichi Manyama_, Aug 23 2024