A377575 E.g.f. satisfies A(x) = (1 + x * exp(x) * A(x))^3.

1, 3, 30, 483, 11100, 334035, 12478698, 558058179, 29104042152, 1735547479587, 116539815603630, 8704631976941043, 716019297815418732, 64326542671867079955, 6267631435921525638738, 658359915933162131600355, 74168964857766293453918928, 8921104769819780822122624323

Offset

0,2

Links

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

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A364983.

a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(3*k+3,k)/( (k+1)*(n-k)! ).

Prog

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

Crossrefs

Cf. A006153, A377574, A377576.

Cf. A364983, A377554.

Sequence in context: A242005 A276356 A375393 * A012003 A164945 A354252

Adjacent sequences: A377572 A377573 A377574 * A377576 A377577 A377578

Keyword

nonn

Author

Seiichi Manyama, Nov 02 2024

Status

approved