A366496 G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(5/2)*A(x)^(7/2).

1, 1, 6, 36, 251, 1891, 15007, 123593, 1046444, 9052330, 79660406, 710879890, 6418000050, 58515227946, 538008396198, 4982752630656, 46442071874398, 435299781856712, 4100411743983559, 38797120485576155, 368561495153257186, 3513923237883474314

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Formula

G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366435.

a(n) = Sum_{k=0..n} binomial(5*k/2,n-k) * binomial(7*k/2,k) / (5*k/2+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(5*k/2, n-k)*binomial(7*k/2, k)/(5*k/2+1));

Crossrefs

Cf. A001006, A366221, A366272, A366273, A366495, A366497, A366498, A366499, A366500, A366501.

Cf. A366435.

Sequence in context: A049428 A129063 A367260 * A366500 A221461 A374986

Adjacent sequences: A366493 A366494 A366495 * A366497 A366498 A366499

Keyword

nonn

Author

Seiichi Manyama, Oct 11 2023

Status

approved