A364623 G.f. satisfies A(x) = 1/(1-x)^3 + x*A(x)^3.

1, 4, 18, 112, 847, 7086, 62974, 583002, 5560323, 54249583, 538873135, 5431177821, 55402340842, 570899082760, 5933922697380, 62138800690564, 654949976467593, 6942859160218698, 73972792893687427, 791722414873487767, 8508265804914763731

Offset: 0

Author

Seiichi Manyama, Jul 30 2023

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..944

Crossrefs

Partial sums of A364629.

Cf. A162481, A364624.

Cf. A001764, A199475, A364620.

Programs

PARI

a(n) = sum(k=0, n, binomial(n+5*k+2, 6*k+2)*binomial(3*k, k)/(2*k+1));

Formula

a(n) = Sum_{k=0..n} binomial(n+5*k+2,6*k+2) * binomial(3*k,k) / (2*k+1).