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 A371023 #19 Mar 13 2024 13:17:30 %S A371023 1,0,2,3,112,665,23016,292957,10710960,223877313,9010822600, %T A371023 266949248621,12012620436312,461111201730049,23286625765980864, %U A371023 1093225826724243045,61822510319788946656,3415325919719802626177,215162865022831595415576 %N A371023 E.g.f. satisfies log(A(x)) = x*A(x)^2 * (exp(x*A(x)^2) - 1). %F A371023 a(n) = n! * Sum_{k=0..floor(n/2)} (2*n+1)^(k-1) * Stirling2(n-k,k)/(n-k)!. %o A371023 (PARI) a(n) = n!*sum(k=0, n\2, (2*n+1)^(k-1)*stirling(n-k, k, 2)/(n-k)!); %Y A371023 Cf. A356785, A356788, A356797. %K A371023 nonn %O A371023 0,3 %A A371023 _Seiichi Manyama_, Mar 12 2024