A366495 G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(3/2)*A(x)^(5/2).

1, 1, 4, 16, 74, 366, 1900, 10210, 56315, 317005, 1813860, 10518652, 61684208, 365177622, 2179549853, 13100686947, 79232836206, 481821573994, 2944253855746, 18069720545174, 111333779015326, 688399685561554, 4270250156814421, 26567075153764929

Offset

0,3

Links

Table of n, a(n) for n=0..23.

Formula

G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366433.

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

Prog

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

Crossrefs

Cf. A001006, A366221, A366272, A366273, A366496, A366497, A366498, A366499, A366500, A366501.

Cf. A366433.

Sequence in context: A344248 A301455 A214372 * A109957 A366498 A306495

Adjacent sequences: A366492 A366493 A366494 * A366496 A366497 A366498

Keyword

nonn

Author

Seiichi Manyama, Oct 11 2023

Status

approved