A347896 -id:A347896 - cp's OEIS frontend

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

Seiichi Manyama, Sep 18 2021

nonn

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

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

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

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

A347897 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(tan(x)/k).

Original entry on oeis.org

1, 0, 2, 6, 36, 250, 1744, 18312, 158960, 2046672, 23152216, 332066240, 4628867680, 75851021376, 1225796994720, 22407297808560, 420285940934912, 8427749606274560, 177279678667864320, 3930905732908421376, 91016443490231306112, 2210008179756128156160, 55958663509700641300736

Offset: 0

Seiichi Manyama, Sep 18 2021

nonn

Cf. A000005 (d(n)), A346545, A347895, A347896.

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

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

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

cp's OEIS Frontend

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

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A347897 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(tan(x)/k).

Views

Author

Keywords

Crossrefs

Programs

PARI

PARI

Formula