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

0,2

Links

Table of n, a(n) for n=0..19.

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).

Prog

(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));

Crossrefs

Cf. A118971, A369617, A379187.

Cf. A379172, A379190, A379191.

Cf. A379186, A379189.

Sequence in context: A367869 A369191 A197921 * A196692 A197065 A141007

Adjacent sequences: A379185 A379186 A379187 * A379189 A379190 A379191

Keyword

nonn

Author

Seiichi Manyama, Dec 17 2024

Status

approved