A347896 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(cos(x)/k).

1, 1, 3, 8, 35, 154, 1069, 6992, 63181, 581792, 6370661, 67452274, 951915997, 11969405746, 179011910505, 2779710261520, 48258699341241, 801399592338584, 16001984887453273, 296633739485713758, 6451644638913737817, 139116145404549492478, 3202263932381289406973, 72019768700608119636692

Offset: 0

Author

Seiichi Manyama, Sep 18 2021

Keywords

• nonn

Crossrefs

Cf. A000005 (d(n)), A346545, A347895, A347897.

Programs

PARI

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

PARI

N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, numdiv(k)*x^k/k))))

Formula

E.g.f.: exp( cos(x) * Sum_{k>=1} d(k)*x^k/k ).