A379188 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^3) * (1 - x*A(x))^3).

1, 4, 34, 392, 5271, 77530, 1208602, 19620262, 328167191, 5616065633, 97867738285, 1730732539345, 30981439344096, 560293394484145, 10221582080782452, 187884236846039893, 3476266045318846245, 64690833375603622619, 1210026171180264742927, 22736845507710710652858

Offset: 0

Author

Seiichi Manyama, Dec 17 2024

Keywords

• nonn

Crossrefs

Cf. A118971, A369617, A379187.

Cf. A379172, A379190, A379191.

Cf. A379186, A379189.

Programs

PARI

a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(4*n+5*k+2, n-k)/(n+3*k+1));

Formula

a(n) = Sum_{k=0..n} binomial(n+3*k+1,k) * binomial(4*n+5*k+2,n-k)/(n+3*k+1).