A377454 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.

1, 4, 56, 1384, 50216, 2422024, 146279816, 10633540264, 904699882856, 88234503004744, 9707888368200776, 1189726637663987944, 160741241332049376296, 23738834426406792534664, 3804763374380021378204936, 657774175587674349626736424, 122016250347540672925706274536

Offset: 0

Author

Seiichi Manyama, Oct 28 2024

Keywords

• nonn

Crossrefs

Cf. A052895, A377452, A377453.

Cf. A377451.

Programs

PARI

a(n) = 4*sum(k=0, n, (5*k+3)!/(4*k+4)!*stirling(n, k, 2));

Formula

E.g.f.: B(x)^4, where B(x) is the e.g.f. of A377451.

a(n) = 4 * Sum_{k=0..n} (5*k+3)!/(4*k+4)! * Stirling2(n,k).