A347897 -id:A347897 - 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 ).

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

Original entry on oeis.org

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

Seiichi Manyama, Sep 18 2021

nonn

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

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

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

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

Views

Author

Keywords

Crossrefs

Programs

PARI

PARI

Formula