A377491 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3.

1, 3, 51, 1692, 85245, 5799348, 498288327, 51799641372, 6323803975545, 887056541576820, 140606281908386763, 24856199282033820396, 4848804928048309664181, 1034685331580238018659748, 239758404709207383049312239, 59955226332194712661373725884

Offset: 0

Author

Seiichi Manyama, Oct 29 2024

Keywords

• nonn

Crossrefs

Cf. A367162, A377490.

Cf. A377498.

Programs

PARI

a(n) = 3*sum(k=0, n, (3*n+4*k+2)!/(3*n+3*k+3)!*stirling(n, k, 2));

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377498.

a(n) = 3 * Sum_{k=0..n} (3*n+4*k+2)!/(3*n+3*k+3)! * Stirling2(n,k).