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 A371262 #17 Mar 17 2024 04:06:32
%S A371262 1,0,2,3,52,365,5286,76867,1341320,27823833,624467530,16163482511,
%T A371262 452003629452,13975370745349,467133121195118,16865722845267675,
%U A371262 653859200911607056,27061461284541490097,1192488605596282310802,55686113074253206544167
%N A371262 E.g.f. satisfies A(x) = 1 + x * (exp(x*A(x)^2) - 1).
%F A371262 a(n) = n! * Sum_{k=0..floor(n/2)} (2*n-2*k)! * Stirling2(n-k,k)/( (n-k)! * (2*n-3*k+1)! ).
%o A371262 (PARI) a(n) = n!*sum(k=0, n\2, (2*n-2*k)!*stirling(n-k, k, 2)/((n-k)!*(2*n-3*k+1)!));
%Y A371262 Cf. A371269, A371270, A371271.
%Y A371262 Cf. A371227.
%K A371262 nonn
%O A371262 0,3
%A A371262 _Seiichi Manyama_, Mar 16 2024