A384579 G.f. A(x) satisfies A(x) = ( 1 + x * A(x*A(x))^(1/5) )^5.

1, 5, 15, 60, 320, 2151, 17985, 176610, 1985755, 25116455, 351852746, 5393800690, 89651625560, 1603780929525, 30688985052200, 624900202917151, 13480450499067220, 306905745410816990, 7349620218635161140, 184589745041317074895, 4849519725067777296866

Offset: 0

Author

Seiichi Manyama, Jun 04 2025

Keywords

• nonn

Crossrefs

Column k=5 of A384583.

Cf. A384575.

Programs

PARI

a(n, k=5) = 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.

G.f.: B(x)^5, where B(x) is the g.f. of A384575.