A377745 E.g.f. satisfies A(x) = exp(x) / (1 - x * A(x)^2)^2.

1, 3, 35, 865, 32917, 1699311, 111033607, 8788108477, 817439352233, 87406186549339, 10564550856634411, 1424421297360350169, 211968687043802337469, 34509326697582566247367, 6101526326400539736369935, 1164298084658023787974823221, 238495519792465232104337607505

Offset

0,2

Links

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

Formula

a(n) = n! * Sum_{k=0..n} (2*k+1)^(n-k-1) * binomial(5*k+1,k)/(n-k)!.

Prog

(PARI) a(n) = n!*sum(k=0, n, (2*k+1)^(n-k-1)*binomial(5*k+1, k)/(n-k)!);

Crossrefs

Cf. A001339, A377742.

Cf. A371318.

Sequence in context: A185752 A379659 A210897 * A267221 A135516 A231644

Adjacent sequences: A377742 A377743 A377744 * A377746 A377747 A377748

Keyword

nonn

Author

Seiichi Manyama, Nov 06 2024

Status

approved