A379187 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^2) * (1 - x*A(x))^3).

1, 4, 30, 286, 3091, 36063, 442898, 5642628, 73893561, 988585443, 13453580815, 185661101085, 2592069904059, 36545520229810, 519601325300487, 7441580996167052, 107255985242888943, 1554576968046707916, 22644622298400113411, 331322620547205661043

Offset

0,2

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A118971, A369617, A379188.

Cf. A369215.

Sequence in context: A212073 A172392 A127130 * A379279 A052631 A368893

Adjacent sequences: A379184 A379185 A379186 * A379188 A379189 A379190

Keyword

nonn,new

Author

Seiichi Manyama, Dec 17 2024

Status

approved