A367154 - OEIS

%I #9 Nov 07 2023 08:27:22

%S 1,1,5,46,611,10486,217817,5232298,139988039,4014151966,116960920469,

%T 3089842957378,42760230799211,-3590078035238330,-540748879852479439,

%U -53293187072033883494,-4741372656403996001905,-409753919036526362138834

%N E.g.f. satisfies A(x) = 2 - exp(-x*A(x)^3).

%F a(n) = (3*n)! * Sum_{k=0..n} (-1)^(n-k) * Stirling2(n,k)/(3*n-k+1)!.

%o (PARI) a(n) = (3*n)!*sum(k=0, n, (-1)^(n-k)*stirling(n, k, 2)/(3*n-k+1)!);

%Y Cf. A097718, A367153.

%K sign

%O 0,3

%A _Seiichi Manyama_, Nov 07 2023