A379247 G.f. A(x) satisfies A(x) = 1 + x * A(x)^4 * (1 + A(x)^5).

1, 2, 26, 506, 11650, 294338, 7889658, 220337562, 6341770050, 186793134530, 5603256962842, 170587626013306, 5257389708399426, 163705194058656258, 5142396822771086970, 162763301041914082970, 5185766155796261822338, 166183971861135163491458

Offset

0,2

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A363380.

Sequence in context: A364196 A216254 A177316 * A379257 A255538 A302719

Adjacent sequences: A379244 A379245 A379246 * A379248 A379249 A379250

Keyword

nonn,new

Author

Seiichi Manyama, Dec 18 2024

Status

approved