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 A366777 #12 Dec 15 2023 09:10:20 %S A366777 0,0,0,0,24,60,240,1260,28224,241920,2181600,21621600,395176320, %T A366777 5915669760,87034409280,1321166246400,26242709391360,529649632512000, %U A366777 10741214992435200,221702803264051200,5187617452174233600,128491776028533657600 %N A366777 Expansion of e.g.f. -log(1 + x^3 * log(1 - x)). %F A366777 a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * |Stirling1(n-3*k,k)|/(n-3*k)!. %o A366777 (PARI) a(n) = n!*sum(k=1, n\4, (k-1)!*abs(stirling(n-3*k, k, 1))/(n-3*k)!); %Y A366777 Cf. A052804, A366752. %Y A366777 Cf. A368166. %K A366777 nonn %O A366777 0,5 %A A366777 _Seiichi Manyama_, Dec 15 2023