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 A375799 #8 Aug 29 2024 11:24:35 %S A375799 1,1,2,6,36,240,1800,16800,178080,2086560,27518400,399168000, %T A375799 6286896000,107623676160,1984274772480,39143052748800,824445099878400, %U A375799 18450791322163200,437015358530150400,10929450232744243200,287728555881102336000,7952251084537503744000 %N A375799 Expansion of e.g.f. 1/(1 + (log(1 - x^3))/x^2). %F A375799 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)! * |Stirling1(n-2*k,n-3*k)|/(n-2*k)!. %o A375799 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+log(1-x^3)/x^2))) %o A375799 (PARI) a(n) = n!*sum(k=0, n\3, (n-3*k)!*abs(stirling(n-2*k, n-3*k, 1))/(n-2*k)!); %Y A375799 Cf. A007840, A375798. %Y A375799 Cf. A353223. %K A375799 nonn %O A375799 0,3 %A A375799 _Seiichi Manyama_, Aug 29 2024