A367017 G.f. satisfies A(x) = 1 + x*A(x)^5*(1 - x).

1, 1, 4, 25, 185, 1495, 12776, 113534, 1038535, 9713905, 92480570, 893215584, 8730601596, 86198356180, 858388634250, 8611765147660, 86958794304735, 883103159075400, 9013769253136005, 92419535419392485, 951446700812718515, 9831013564639954705

Offset: 0

Author

Seiichi Manyama, Nov 01 2023

Keywords

• nonn

Crossrefs

Cf. A200753, A367016.

Cf. A002294, A365184.

Programs

PARI

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

Formula

a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(k,n-k) * A002294(k).