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

0,3

Links

Table of n, a(n) for n=0..22.

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)) ).

Prog

(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))))))

Crossrefs

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

Sequence in context: A308475 A002825 A259339 * A052322 A130767 A273461

Adjacent sequences: A346838 A346839 A346840 * A346842 A346843 A346844

Keyword

nonn

Author

Seiichi Manyama, Sep 18 2021

Status

approved