A298160 G.f.: Product_{k>=1} 1/(1+prime(k)*x^prime(k)).

1, 0, -2, -3, 4, 1, 1, -9, 13, -9, 20, -38, 76, -75, 65, -323, 378, -197, 805, -1394, 1635, -2513, 3175, -5442, 11135, -12570, 12526, -33357, 51563, -46460, 93551, -155750, 186650, -313241, 421641, -620393, 1131820, -1321220, 1663951, -3559915, 5011036, -5207116

Offset: 0

Author

Seiichi Manyama, Jan 14 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..6278

Crossrefs

Cf. A002099, A048165, A298159.

Programs

Mathematica

CoefficientList[Series[Product[1/(1+Prime[k]x^Prime[k]),{k,50}],{x,0,50}],x] (* Harvey P. Dale, Mar 24 2020 *)