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 A367879 #9 Dec 04 2023 06:37:05 %S A367879 1,0,6,9,240,1170,25812,244440,5464512,79579584,1926411120, %T A367879 37900930320,1018338863616,25047229315680,752077828672128, %U A367879 22027545026192160,738063856107279360,24935406131189352960,927531711339595204608,35370336293213512527360 %N A367879 Expansion of e.g.f. 1/(1 + 3 * x * log(1-x)). %F A367879 a(0) = 1; a(n) = 3 * n! * Sum_{k=2..n} 1/(k-1) * a(n-k)/(n-k)!. %F A367879 a(n) = n! * Sum_{k=0..floor(n/2)} 3^k * k! * |Stirling1(n-k,k)|/(n-k)!. %o A367879 (PARI) a(n) = n!*sum(k=0, n\2, 3^k*k!*abs(stirling(n-k, k, 1))/(n-k)!); %Y A367879 Cf. A052830, A367878. %K A367879 nonn %O A367879 0,3 %A A367879 _Seiichi Manyama_, Dec 03 2023