A294471 E.g.f.: 1/Product_{k>0} (1+x^k/k)^k.

1, -1, 0, -6, 18, -90, 660, -3360, 47880, -293160, 4277280, -36424080, 575190000, -6745218480, 101911249440, -1628086299840, 24861230634240, -484979925830400, 7629427896330240, -176975913961566720, 3036472694482106880, -77953392499390087680

Offset: 0

Author

Seiichi Manyama, Oct 31 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..449

Crossrefs

Cf. A292358.

Cf. A181541, A294469, A294470.

Programs

Mathematica

With[{nn=30},CoefficientList[Series[1/Product[(1+x^k/k)^k,{k,nn}],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Jul 30 2021 *)

PARI

N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1+x^k/k)^k)))