A377528 E.g.f. satisfies A(x) = 1/(1 - x * exp(x) * A(x))^4.

1, 4, 60, 1548, 58456, 2930020, 183763704, 13866109012, 1224251041248, 123885272536452, 14140672597851880, 1797709847594145364, 251941291752251706576, 38593132701417704324356, 6415647343472197357272984, 1150373241484390263973203540, 221318733487356013660505462464

Offset

0,2

Links

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

Formula

E.g.f.: B(x)^4, where B(x) is the e.g.f. of A377526.

a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(5*k+3,k)/( (k+1)*(n-k)! ).

Prog

(PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(5*k+3, k)/((k+1)*(n-k)!));

Crossrefs

Cf. A295238, A377503, A377504.

Cf. A377526, A377527.

Sequence in context: A013483 A013484 A013485 * A324959 A098630 A377629

Adjacent sequences: A377525 A377526 A377527 * A377529 A377530 A377531

Keyword

nonn

Author

Seiichi Manyama, Oct 30 2024

Status

approved