A362338 a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^k / (k! * (n-3*k)!).

1, 1, 1, -5, -23, -59, 1321, 9871, 39985, -1512503, -16027919, -89148509, 4751428441, 65256458125, 461686022617, -31737431328329, -535583971806239, -4599769739165039, 387180506424212065, 7750866424109754187, 78298694889496869961, -7798395141074580424619

Offset: 0

Author

Seiichi Manyama, Apr 17 2023

Keywords

• sign

Links

• Eric Weisstein's World of Mathematics, Lambert W-Function.

Crossrefs

Cf. A069856, A362337, A362339.

Cf. A362348.

Programs

PARI

my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3))))

Formula

E.g.f.: exp(x) / (1 + LambertW(x^3)).