A366402 G.f. A(x) satisfies A(x) = (1 + x * A(x)^(9/2)) / (1 - x).

1, 2, 11, 92, 905, 9734, 110867, 1314140, 16041947, 200302394, 2546194497, 32840654064, 428708791851, 5653487876454, 75201937732737, 1007829909427734, 13594917784717860, 184440900147250722, 2515052824018153080, 34451608720123170686, 473853214173320181668

Offset

0,2

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A366400, A366401, A366403, A366404, A366405, A366406, A366407.

Sequence in context: A352292 A143870 A047854 * A222080 A122708 A337012

Adjacent sequences: A366399 A366400 A366401 * A366403 A366404 A366405

Keyword

nonn

Author

Seiichi Manyama, Oct 09 2023

Status

approved