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

0,3

Links

Table of n, a(n) for n=0..18.

Formula

See A384741.

Prog

(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)));

Crossrefs

Column k=1 of A384741.

Cf. A000272, A162659, A384740.

Cf. A384719, A384749.

Sequence in context: A210854 A060545 A108288 * A327362 A327071 A346315

Adjacent sequences: A384736 A384737 A384738 * A384740 A384741 A384742

Keyword

nonn

Author

Seiichi Manyama, Jun 08 2025

Status

approved