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 A375556 #11 Aug 19 2024 12:14:57
%S A375556 1,0,0,0,4,0,0,70,1120,0,5600,184800,2217600,1201200,61661600,
%T A375556 1513512000,16682265600,38118080000,1440863424000,31721866176000,
%U A375556 352561745536000,2053230379200000,68832104140800000,1449890913639168000,17583390443114496000
%N A375556 Expansion of e.g.f. 1 / (1 + x * log(1 - x^3/6)).
%F A375556 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)! * |Stirling1(k,n-3*k)|/(6^k*k!).
%o A375556 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^3/6))))
%o A375556 (PARI) a(n) = n!*sum(k=0, n\3, (n-3*k)!*abs(stirling(k, n-3*k, 1))/(6^k*k!));
%Y A375556 Cf. A052830, A375167, A375558.
%Y A375556 Cf. A351156.
%K A375556 nonn
%O A375556 0,5
%A A375556 _Seiichi Manyama_, Aug 19 2024