A377631 E.g.f. satisfies A(x) = 1/(1 - x * A(x)^4 * exp(x*A(x)^4)).

1, 1, 12, 297, 11380, 593785, 39304206, 3155996557, 298106913336, 32391139027185, 3980284376962330, 545806093612966021, 82628400115183659012, 13688201250584241332809, 2463065653446247669021398, 478399017659163635014545405, 99757368661138669886988396016

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A377629, A377632.

Cf. A213644, A364985, A365177.

Cf. A364989.

Sequence in context: A361309 A223011 A245915 * A109867 A326437 A303068

Adjacent sequences: A377628 A377629 A377630 * A377632 A377633 A377634

Keyword

nonn

Author

Seiichi Manyama, Nov 02 2024

Status

approved