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 A367878 #10 Dec 04 2023 06:37:19 %S A367878 1,0,4,6,112,540,8688,78960,1343872,18162144,346968000,6157134720, %T A367878 134058110976,2912224423680,72152130903552,1839996238429440, %U A367878 51471401675489280,1500206702407741440,46934038380170391552,1535198134749947965440 %N A367878 Expansion of e.g.f. 1/(1 + 2 * x * log(1-x)). %F A367878 a(0) = 1; a(n) = 2 * n! * Sum_{k=2..n} 1/(k-1) * a(n-k)/(n-k)!. %F A367878 a(n) = n! * Sum_{k=0..floor(n/2)} 2^k * k! * |Stirling1(n-k,k)|/(n-k)!. %o A367878 (PARI) a(n) = n!*sum(k=0,n\2, 2^k*k!*abs(stirling(n-k, k, 1))/(n-k)!); %Y A367878 Cf. A052830, A367879. %Y A367878 Cf. A367883. %K A367878 nonn %O A367878 0,3 %A A367878 _Seiichi Manyama_, Dec 03 2023