A365186 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^2).

1, 1, 6, 47, 428, 4241, 44407, 483358, 5414618, 62014112, 722870120, 8547768832, 102284029963, 1236274747490, 15070955944288, 185089043535730, 2287843817573898, 28440852786725695, 355345599519983962, 4459821165693379625, 56200963128262312342

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

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

Prog

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

Crossrefs

Cf. A002295, A365184, A365185, A365187, A365188, A365189.

Cf. A365192.

Sequence in context: A071878 A369502 A364748 * A104256 A289211 A307567

Adjacent sequences: A365183 A365184 A365185 * A365187 A365188 A365189

Keyword

nonn

Author

Seiichi Manyama, Aug 25 2023

Status

approved