A384750 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x)^3)^3 ).

1, 1, 7, 154, 5977, 351196, 28315369, 2954632402, 383525186209, 60193522329112, 11181354061281841, 2417710637018004406, 600471190717495018849, 169437981624693089625604, 53825488351532394141057001, 19100433341924628525123843826, 7520675779186271371397475067969

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

See A384752.

Prog

(PARI) a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, (3*n-3*j+k)^(j-1)*binomial(n, j)*a(n-j, 3*j)));

Crossrefs

Column k=1 of A384752.

Sequence in context: A219981 A213113 A391790 * A144683 A229711 A296232

Adjacent sequences: A384747 A384748 A384749 * A384751 A384752 A384753

Keyword

nonn

Author

Seiichi Manyama, Jun 09 2025

Status

approved