A384578 G.f. A(x) satisfies A(x) = ( 1 + x * A(x*A(x))^(1/4) )^4.

1, 4, 10, 36, 171, 1032, 7656, 66144, 651065, 7170044, 87058242, 1152623008, 16497960553, 253521890800, 4158356425944, 72446946779420, 1335030266607501, 25927404824529616, 528984983237731754, 11306375975258492540, 252529515598101796399, 5880779189553142120704

Offset: 0

Author

Seiichi Manyama, Jun 04 2025

Keywords

• nonn

Crossrefs

Column k=4 of A384582.

Cf. A384574.

Programs

PARI

a(n, k=4) = 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.

G.f.: B(x)^4, where B(x) is the g.f. of A384574.