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 A377683 #11 Nov 04 2024 09:08:56 %S A377683 1,0,6,9,96,450,3132,22680,179904,1578528,15282000,162304560, %T A377683 1879227072,23579281440,318874800384,4625170411680,71640771563520, %U A377683 1180394962790400,20616532017767424,380509312545031680,7400308896979660800,151271976281858611200,3242509236999683481600 %N A377683 Expansion of e.g.f. (1 - x * log(1 - x))^3. %F A377683 a(n) = n! * Sum_{k=0..floor(n/2)} k! * binomial(3,k) * |Stirling1(n-k,k)|/(n-k)!. %o A377683 (PARI) a(n) = n!*sum(k=0, n\2, k!*binomial(3, k)*abs(stirling(n-k, k, 1))/(n-k)!); %Y A377683 Cf. A377682, A377684. %Y A377683 Cf. A375672. %K A377683 nonn,easy %O A377683 0,3 %A A377683 _Seiichi Manyama_, Nov 04 2024