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

Author

Seiichi Manyama, Oct 11 2023

Keywords

• nonn

Crossrefs

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

Cf. A366433.

Programs

PARI

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

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).