A364989 E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^4).

1, 1, 10, 207, 6628, 288885, 15969606, 1070760523, 84448152328, 7660906993737, 785932068816010, 89973000854464431, 11370915080258640204, 1572520778920744136029, 236212754707591898128270, 38299196311415039667233715, 6666717272317556205911393296

Offset: 0

Author

Seiichi Manyama, Aug 15 2023

Keywords

• nonn

Crossrefs

Cf. A161633, A364982, A364986.

Programs

PARI

a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*n+1, k)/(n-k)!)/(4*n+1);

Formula

a(n) = (n!/(4*n+1)) * Sum_{k=0..n} k^(n-k) * binomial(4*n+1,k)/(n-k)!.