A384720 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x))^3 ).

1, 1, 7, 118, 3385, 141556, 7918489, 561302470, 48589734337, 5001284972872, 599865865782481, 82534986682048066, 12863925185682542833, 2248009460254706256460, 436716594440553989797369, 93635975845903995553159126, 22021353830468757164023479169, 5650417076648052544704264390160

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

See A384722.

Prog

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

Crossrefs

Column k=1 of A384722.

Cf. A162659, A384719.

Sequence in context: A213112 A376035 A266482 * A368631 A383560 A076283

Adjacent sequences: A384717 A384718 A384719 * A384721 A384722 A384723

Keyword

nonn

Author

Seiichi Manyama, Jun 08 2025

Status

approved