A364624 G.f. satisfies A(x) = 1/(1-x)^3 + x*A(x)^4.

1, 4, 22, 194, 2103, 25129, 318816, 4214724, 57419725, 800461033, 11363418314, 163708299724, 2387365301187, 35173224652637, 522752043513952, 7827979832083872, 117992516684761733, 1788819120580964014, 27258417705055812586, 417270970443908301926

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} binomial(n+8*k+2,9*k+2) * binomial(4*k,k) / (3*k+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+8*k+2, 9*k+2)*binomial(4*k, k)/(3*k+1));

Crossrefs

Cf. A162481, A364623.

Sequence in context: A197961 A203120 A002728 * A062494 A183274 A303330

Adjacent sequences: A364621 A364622 A364623 * A364625 A364626 A364627

Keyword

nonn

Author

Seiichi Manyama, Jul 30 2023

Status

approved