A366401 G.f. A(x) satisfies A(x) = (1 + x * A(x)^(7/2)) / (1 - x).

1, 2, 9, 58, 436, 3572, 30935, 278532, 2581043, 24453404, 235790159, 2306367444, 22829030276, 228240387070, 2301498462245, 23379656027868, 239038022347243, 2457891085704180, 25400777844198274, 263685720722690420, 2748421883496133866

Offset: 0

Author

Seiichi Manyama, Oct 09 2023

Keywords

• nonn

Crossrefs

Cf. A349313, A366400, A366402, A366403, A366404, A366405, A366406, A366407.

Programs

PARI

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

Formula

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