A384575 G.f. A(x) satisfies A(x) = 1 + x * A(x*A(x)^5).

1, 1, 1, 6, 31, 236, 2166, 22722, 269889, 3567412, 51765431, 816476196, 13892821878, 253442895075, 4930644856063, 101830536332051, 2223767436058566, 51172807259226084, 1237092039069090235, 31332521053777095784, 829389782837272248191, 22894754438382163120136

Offset: 0

Author

Seiichi Manyama, Jun 04 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384583.

Cf. A087949, A143500, A143501, A384574.

Cf. A384579.

Programs

PARI

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

Formula

See A384583.