A384574 G.f. A(x) satisfies A(x) = 1 + x * A(x*A(x)^4).

1, 1, 1, 5, 23, 155, 1236, 11286, 116333, 1329433, 16630343, 225606826, 3294976854, 51496560764, 856858516809, 15112857079891, 281479726839851, 5517842789917283, 113510479973132860, 2444032094604379100, 54948814775692303024, 1287258966133883349701

Offset: 0

Author

Seiichi Manyama, Jun 04 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384582.

Cf. A087949, A143500, A143501, A384575.

Cf. A384578.

Programs

PARI

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

Formula

See A384582.