A347895 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(sin(x)/k).

1, 0, 2, 6, 24, 190, 1054, 10752, 81512, 964836, 10271986, 128768090, 1692130756, 25920268218, 373473594246, 6417995468640, 113429495582192, 2067370129203944, 40640473402056690, 853163776496470734, 18080227324013473596, 417591451359251698830, 9865838382742988603390

Offset: 0

Author

Seiichi Manyama, Sep 18 2021

Keywords

• nonn

Crossrefs

Cf. A000005 (d(n)), A346545, A346841, A347896, A347897.

Programs

PARI

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

PARI

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

Formula

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