A366497 G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(7/2)*A(x)^(9/2).

1, 1, 8, 64, 596, 6028, 64352, 713812, 8146490, 95040886, 1128369960, 13588883712, 165598378308, 2038279921692, 25303322898120, 316443054086214, 3983011314348183, 50418720131975193, 641444450506307160, 8197477211343267688, 105185927879224420064

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366437.

a(n) = Sum_{k=0..n} binomial(7*k/2,n-k) * binomial(9*k/2,k) / (7*k/2+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(7*k/2, n-k)*binomial(9*k/2, k)/(7*k/2+1));

Crossrefs

Cf. A001006, A366221, A366272, A366273, A366495, A366496, A366498, A366499, A366500, A366501.

Cf. A366437.

Sequence in context: A344252 A199567 A213336 * A355214 A047900 A204212

Adjacent sequences: A366494 A366495 A366496 * A366498 A366499 A366500

Keyword

nonn

Author

Seiichi Manyama, Oct 11 2023

Status

approved