A327067 -id:A327067 - cp's OEIS frontend

A327064 Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^k).

1, 1, 2, 5, 10, 18, 35, 62, 110, 197, 339, 573, 975, 1621, 2674, 4385, 7108, 11422, 18277, 28976, 45648, 71531, 111372, 172416, 265695, 407210, 621143, 943392, 1426414, 2147672, 3221271, 4812534, 7163440, 10625651, 15706871, 23141148, 33987287, 49762235

Offset: 0

Vaclav Kotesovec, Aug 19 2019

nonn

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Cf. A028377, A192065, A211856, A294842, A280541, A327063, A327065, A327067.

nmax = 40; CoefficientList[Series[Product[Product[(1+x^(k*j))^k, {j, 1, Min[k, nmax/k]}], {k, 1, nmax}], {x, 0, nmax}], x]

A327066 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(k*j))^j).

Original entry on oeis.org

1, 1, 2, 3, 7, 9, 17, 23, 41, 58, 93, 127, 205, 281, 423, 583, 869, 1180, 1716, 2322, 3317, 4479, 6282, 8406, 11696, 15589, 21343, 28325, 38480, 50756, 68307, 89688, 119725, 156586, 207449, 269921, 355530, 460804, 602816, 778281, 1012956, 1302481, 1686418

Offset: 0

Vaclav Kotesovec, Aug 19 2019

nonn

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Cf. A000294, A061256, A182269, A279216, A280540, A327063, A327067, A327068.

nmax = 50; CoefficientList[Series[Product[Product[1/(1-x^(k*j))^j, {j, 1, Min[k, nmax/k]}], {k, 1, nmax}], {x, 0, nmax}], x]

A327068 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(kj))^(kj)).

Original entry on oeis.org

1, 1, 3, 6, 17, 28, 66, 116, 248, 441, 867, 1516, 2894, 5015, 9138, 15724, 27954, 47428, 82421, 138380, 235910, 392040, 657590, 1081225, 1789550, 2914500, 4763562, 7689071, 12433581, 19897139, 31862226, 50583981, 80285138, 126509709, 199167763, 311620226

Offset: 0

Vaclav Kotesovec, Aug 19 2019

nonn

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Cf. A000294, A061256, A182269, A279216, A280540, A327065, A327066, A327067.

nmax = 40; CoefficientList[Series[Product[Product[1/(1-x^(k*j))^(k*j), {j, 1, Min[k, nmax/k]}], {k, 1, nmax}], {x, 0, nmax}], x]

cp's OEIS Frontend

A327064 Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^k).

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A327066 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(k*j))^j).

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Author

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Mathematica

A327068 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(kj))^(kj)).

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Author

Keywords

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Mathematica

cp's OEIS Frontend

A327064 Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^k).

Views

Author

Keywords

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Programs

Mathematica

A327066 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(k*j))^j).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

A327068 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(k*j))^(k*j)).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

A327068 Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(kj))^(kj)).