A294258 Expansion of e.g.f.: exp((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5) - 1).

1, -1, -1, 5, 1, 79, 31, -2059, -68095, 129599, 5586751, 36420229, -159700991, -6256012465, -94786800289, -3320395014091, 74018996229121, 1093450523140351, -4548151329265025, -222875601233847931, -7118941159301980159, -60758029090422335281

Offset: 0

Author

Seiichi Manyama, Oct 26 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..458

Crossrefs

Column k=5 of A294254.

Programs

Mathematica

With[{nn=30},CoefficientList[Series[Exp[Times@@(1-x^Range[5])-1],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Oct 29 2020 *)

PARI

N=66; x='x+O('x^N); Vec(serlaplace(exp((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)-1)))

Extensions

Definition clarified by Harvey P. Dale, Oct 29 2020