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 A371141 #8 Mar 12 2024 09:32:10 %S A371141 1,0,2,3,80,390,10764,104160,3162144,48889008,1647798480,35939566080, %T A371141 1347110453952,38272507827840,1593399505840128,55860824012535360, %U A371141 2575479834957911040,107239963351030433280,5453101063482843276288,262319113586136087567360 %N A371141 E.g.f. satisfies A(x) = 1 - x*A(x)^3 * log(1 - x). %F A371141 a(n) = n! * Sum_{k=0..floor(n/2)} (3*k)!/(2*k+1)! * |Stirling1(n-k,k)|/(n-k)!. %o A371141 (PARI) a(n) = n!*sum(k=0, n\2, (3*k)!/(2*k+1)!*abs(stirling(n-k, k, 1))/(n-k)!); %Y A371141 Cf. A052830, A371140. %Y A371141 Cf. A367158. %K A371141 nonn %O A371141 0,3 %A A371141 _Seiichi Manyama_, Mar 12 2024