A364629 G.f. satisfies A(x) = (1+x*A(x)^3)/(1-x)^2.

1, 3, 14, 94, 735, 6239, 55888, 520028, 4977321, 48689260, 484623552, 4892304686, 49971163021, 515496741918, 5363023614620, 56204877993184, 592811175777029, 6287909183751105, 67029933733468729, 717749621979800340, 7716543390041275964

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} binomial(n+5*k+1,6*k+1) * binomial(3*k,k) / (2*k+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+5*k+1, 6*k+1)*binomial(3*k, k)/(2*k+1));

Crossrefs

Cf. A162477, A364630.

Cf. A364620.

Sequence in context: A089462 A088342 A358118 * A074531 A091906 A214378

Adjacent sequences: A364626 A364627 A364628 * A364630 A364631 A364632

Keyword

nonn

Author

Seiichi Manyama, Jul 30 2023

Status

approved