A346841 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^sin(x).

1, 0, 2, 9, 40, 360, 2480, 28833, 266936, 3562920, 45634258, 659631225, 10231705196, 176661237948, 3080315922294, 59430009554685, 1217593208993232, 25766943601055184, 583245289316927058, 13861911731632256457, 343615639889119016556, 8925102256331257339140, 242399591002192962709230

Offset: 0

Author

Seiichi Manyama, Sep 18 2021

Keywords

• nonn

Crossrefs

Cf. A000203, A053529, A335626, A346547, A346941, A347774.

Programs

PARI

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

PARI

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

PARI

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

Formula

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

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