A384650 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x*A(x)^5) ).

1, 1, 2, 10, 69, 592, 6052, 70870, 928497, 13404514, 210892157, 3584892350, 65390514877, 1272723903336, 26307949481077, 575201364472316, 13255835789428863, 320999903683710948, 8145524458876305526, 216062918679078474529, 5977572987203090333399

Offset: 0

Author

Seiichi Manyama, Jun 06 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384654.

Cf. A110447, A162661, A384145, A384649.

Programs

PARI

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

Formula

See A384654.