Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #7 Oct 25 2024 09:29:30
%S 1,1,11,250,8789,420646,25536083,1880370598,162872596937,
%T 16227667154806,1828467483194975,229904271890603014,
%U 31913005486577248877,4847412341607090455110,799762918909215143560907,142427688272456020835132518,27231132645610171996487568017,5563389652463220933157357670806
%N E.g.f. satisfies A(x) = 1 + A(x)^2 * (exp(x*A(x)^3) - 1).
%F a(n) = Sum_{k=0..n} (3*n+2*k)!/(3*n+k+1)! * Stirling2(n,k).
%o (PARI) a(n) = sum(k=0, n, (3*n+2*k)!/(3*n+k+1)!*stirling(n, k, 2));
%Y Cf. A052752, A367135, A367181, A377324.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 25 2024