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 A367884 #8 Dec 04 2023 06:36:11 %S A367884 1,0,6,27,432,5670,107892,2245320,55380672,1525511232,47089609200, %T A367884 1600308206640,59508149907456,2400782506705440,104471929620067968, %U A367884 4876509369382166880,243046385420037166080,12881279635221755358720,723372722620484975659008 %N A367884 Expansion of e.g.f. 1/(1 + x * log(1-3*x)). %F A367884 a(0) = 1; a(n) = n! * Sum_{k=2..n} 3^(k-1)/(k-1) * a(n-k)/(n-k)!. %F A367884 a(n) = n! * Sum_{k=0..floor(n/2)} 3^(n-k) * k! * |Stirling1(n-k,k)|/(n-k)!. %o A367884 (PARI) a(n) = n!*sum(k=0, n\2, 3^(n-k)*k!*abs(stirling(n-k, k, 1))/(n-k)!); %Y A367884 Cf. A367883. %K A367884 nonn %O A367884 0,3 %A A367884 _Seiichi Manyama_, Dec 04 2023