A384649 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x*A(x)^4) ).

1, 1, 2, 9, 56, 432, 3935, 40820, 471633, 5980210, 82329140, 1220547845, 19359684220, 326799737576, 5844913732057, 110341722975077, 2191461358459051, 45656013573862832, 995196646595460516, 22644288881875546322, 536706817952488705651, 13225669497771610891404

Offset: 0

Author

Seiichi Manyama, Jun 06 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384653.

Cf. A110447, A162661, A384145, A384650.

Programs

PARI

a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, binomial(4*n-3*j+k, j)/(4*n-3*j+k)*a(n-j, j)));

Formula

See A384653.