A293118 E.g.f.: exp(x^3/(x-1)).

1, 0, 0, -6, -24, -120, -360, 0, 20160, 302400, 3628800, 39916800, 419126400, 4151347200, 36324288000, 207048441600, -1743565824000, -103742166528000, -2925529096089600, -69945932735078400, -1571249213614080000, -34354603773794304000, -741528257908838400000

Offset: 0

Author

Seiichi Manyama, Sep 30 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..450

Crossrefs

Column k=2 of A293119.

Cf. A293049.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1, -add(
      a(n-j)*binomial(n-1, j-1)*j!, j=3..n))
    end:
seq(a(n), n=0..25);  # Alois P. Heinz, Sep 30 2017

Mathematica

CoefficientList[Series[E^(-x^3/(1-x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Sep 30 2017 *)

PARI

x='x+O('x^66); Vec(serlaplace(exp(x^3/(x-1))))