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 A375562 #10 Aug 19 2024 12:14:38
%S A375562 1,0,0,0,24,0,0,2520,40320,0,1209600,39916800,479001600,1556755200,
%T A375562 79913433600,1961511552000,25107347865600,296406190080000,
%U A375562 11204153985024000,263564384219136000,4284610758844416000,95795516571955200000,3345240261242880000000
%N A375562 Expansion of e.g.f. 1 / (1 + x * log(1 - x^3)).
%F A375562 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)! * |Stirling1(k,n-3*k)|/k!.
%o A375562 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^3))))
%o A375562 (PARI) a(n) = n!*sum(k=0, n\3, (n-3*k)!*abs(stirling(k, n-3*k, 1))/k!);
%Y A375562 Cf. A052830, A375561.
%Y A375562 Cf. A353227.
%K A375562 nonn
%O A375562 0,5
%A A375562 _Seiichi Manyama_, Aug 19 2024