A379257 G.f. A(x) satisfies A(x) = 1 + x * A(x)^3 * (1 + A(x)^7).

1, 2, 26, 530, 12850, 342370, 9684010, 285483666, 8675363298, 269823659586, 8547536496442, 274825739078930, 8945617644054546, 294204116545534370, 9761360051405903434, 326339380099797219474, 10982521821776648986050, 371758494418806559639170

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A379256.

Sequence in context: A216254 A177316 A379247 * A255538 A387430 A302719

Adjacent sequences: A379254 A379255 A379256 * A379258 A379259 A379260

Keyword

nonn

Author

Seiichi Manyama, Dec 19 2024

Status

approved