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 A366752 #12 Dec 15 2023 09:10:27 %S A366752 0,0,0,6,12,40,540,3528,25200,324000,3648960,41690880,622274400, %T A366752 9573033600,150465579264,2705877820800,51819600268800, %U A366752 1028013655818240,22086154437442560,504188626820659200,11997041025160396800,301999960230701322240 %N A366752 Expansion of e.g.f. -log(1 + x^2 * log(1 - x)). %F A366752 a(n) = n! * Sum_{k=1..floor(n/3)} (k-1)! * |Stirling1(n-2*k,k)|/(n-2*k)!. %o A366752 (PARI) a(n) = n!*sum(k=1, n\3, (k-1)!*abs(stirling(n-2*k, k, 1))/(n-2*k)!); %Y A366752 Cf. A052804, A366777. %Y A366752 Cf. A368165. %K A366752 nonn %O A366752 0,4 %A A366752 _Seiichi Manyama_, Dec 15 2023