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 A371196 #12 Jun 04 2024 12:13:57
%S A371196 1,0,2,9,56,570,5844,75600,1101568,18059328,330859440,6657765840,
%T A371196 146394716544,3488742148320,89569620370944,2464853317748640,
%U A371196 72368541315763200,2258038571305305600,74611690018599389184,2602671162733649456640,95577054989820127994880
%N A371196 Expansion of e.g.f. 1/(1 + x * log(1 - x - x^2)).
%F A371196 a(n) = n! * Sum_{j=0..n} Sum_{k=0..j} k! * binomial(j,n-j-k) * |Stirling1(j,k)|/j!.
%t A371196 With[{nn=20},CoefficientList[Series[1/(1+x*Log[1-x-x^2]),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jun 04 2024 *)
%o A371196 (PARI) a(n) = n!*sum(j=0, n, sum(k=0, j, k!*binomial(j, n-j-k)*abs(stirling(j, k, 1))/j!));
%Y A371196 Cf. A331339, A371197, A371198.
%Y A371196 Cf. A088369.
%K A371196 nonn
%O A371196 0,3
%A A371196 _Seiichi Manyama_, Mar 15 2024