A385060 E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x))^3).

1, 1, 9, 43, 125, -6279, -412025, -9060911, -98234103, 10633082401, 1397628908171, 76301056937865, 3570677332342477, -21017427583370399, -28544077526642620977, -3624219130398256821119, -403594553235196466813935, -26214785940427662614214975, -249746440937109731554641389

Offset: 0

Author

Seiichi Manyama, Jun 16 2025

Keywords

• sign

Crossrefs

Column k=1 of A385063.

Cf. A052774, A384984.

Programs

PARI

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

Formula

See A385063.