A384982 E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x)^2)).

1, 1, 5, 37, 441, 6201, 106813, 1906941, 30468273, 55523377, -38740562379, -3411724382571, -243384297752087, -16302037879790103, -1079717486340230163, -70522687923224561939, -4464491645915641423263, -256925648451575448717471, -10553829528150112216547483

Offset: 0

Author

Seiichi Manyama, Jun 14 2025

Keywords

• sign

Crossrefs

Column k=1 of A384985.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-2*n+j+k)^(j-1)*binomial(n, j)*a(n-j, j)));

Formula

See A384985.