A347899 E.g.f.: Product_{k>=1} (1 + x^k)^(cos(x)/k).

1, 1, 1, 2, -1, -6, 109, 1154, -2507, 18392, 829181, 6383244, -2209703, -107812394, 4571476337, 317794760230, 2764096980201, -15873576166552, 100411162138201, 7249400365091352, 111212112152829597, 8121369858513002698, 171335979252872509109, 502729844835525379706

Offset: 0

Author

Seiichi Manyama, Sep 18 2021

Keywords

• sign

Crossrefs

Cf. A347898, A347900.

Programs

PARI

N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+x^k)^(cos(x)/k))))