A358063 - OEIS

A358063

Expansion of e.g.f. exp( x * exp(-x^3) ).

1, 1, 1, 1, -23, -119, -359, 1681, 38641, 269137, 599761, -22461119, -347288039, -2477852519, 13993475497, 670329026641, 8887630708321, 29011883003041, -1682765787379679, -40673626173010943, -409560067877703479, 4061870252008891561, 235100528524188216121

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = n! * Sum_{k=0..floor(n/3)} (-n + 3*k)^k/(k! * (n - 3*k)!).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x^3))))

(PARI) a(n) = n!*sum(k=0, n\3, (-n+3*k)^k/(k!*(n-3*k)!));

CROSSREFS

Cf. A003725, A357948.