A366215 G.f. A(x) satisfies A(x) = 1/(1 - x)^4 + x*(1 - x)^4*A(x)^4.

1, 5, 26, 200, 1995, 22522, 272152, 3437280, 44806905, 598204475, 8137535934, 112382617018, 1571496538035, 22205618546014, 316570999534832, 4547819503936622, 65770112191659609, 956743348385310031, 13989838139093922658, 205511713513718581234

Offset: 0

Author

Seiichi Manyama, Oct 04 2023

Keywords

• nonn

Crossrefs

Cf. A014140, A164965, A366034.

Programs

PARI

a(n) = sum(k=0, n, binomial(n+7*k+3, n-k)*binomial(4*k, k)/(3*k+1));

Formula

a(n) = Sum_{k=0..n} binomial(n+7*k+3,n-k) * binomial(4*k,k)/(3*k+1).