A384739 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x)^2) ).

1, 1, 3, 28, 461, 11776, 421207, 19832128, 1179482201, 85990657024, 7513043962571, 772836266189824, 92270347493126629, 12636256749099114496, 1965364897138717976735, 344225592620170387849216, 67392512492360201909759153, 14653181755453024592646111232, 3518079370651785227796264294163

Offset: 0

Author

Seiichi Manyama, Jun 08 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384741.

Cf. A000272, A162659, A384740.

Cf. A384719, A384749.

Programs

PARI

a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, (2*n-2*j+k)^(j-1)*binomial(n, j)*a(n-j, j)));

Formula

See A384741.