A292952 E.g.f.: exp(-x * exp(x)).

1, -1, -1, 2, 9, 4, -95, -414, 49, 10088, 55521, 13870, -2024759, -15787188, -28612415, 616876274, 7476967905, 32522642896, -209513308607, -4924388011050, -38993940088199, -11731860520780, 3807154270837281, 52018152493218010, 278413297030360273

Offset: 0

Author

Seiichi Manyama, Sep 27 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..557

Crossrefs

Column k=1 of A293015.

Cf. this sequence (k=1), A292953 (k=2), A292954 (k=3), A292955 (k=4).

Cf. A003725.

Programs

Mathematica

With[{nn=30},CoefficientList[Series[Exp[-x Exp[x]],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, May 15 2023 *)

PARI

x='x+O('x^66); Vec(serlaplace(exp(-x*exp(x))))

Formula

a(n) = (-1)^n * A003725(n).