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 A366751 #11 Dec 15 2023 09:10:15 %S A366751 0,0,0,0,24,60,120,210,20496,181944,1059120,4990590,180292200, %T A366751 3191349876,36598884504,327837512730,7732754793120,194896185648240, %U A366751 3574721299186656,51311061420097014,1105883184455171640,32127696556638165420,812811279492629700360 %N A366751 Expansion of e.g.f. -log(1 - x^3 * (exp(x) - 1)). %F A366751 a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * Stirling2(n-3*k,k)/(n-3*k)!. %o A366751 (PARI) a(n) = n!*sum(k=1, n\4, (k-1)!*stirling(n-3*k, k, 2)/(n-3*k)!); %Y A366751 Cf. A052858, A366564. %Y A366751 Cf. A368174. %K A366751 nonn %O A366751 0,5 %A A366751 _Seiichi Manyama_, Dec 15 2023