A343325 -id:A343325 - cp's OEIS frontend

A343322 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^2).

1, 4, 9, 22, 25, 72, 49, 132, 117, 200, 121, 486, 169, 392, 450, 729, 289, 1116, 361, 1350, 882, 968, 529, 3132, 925, 1352, 1542, 2646, 841, 4500, 961, 4000, 2178, 2312, 2450, 8388, 1369, 2888, 3042, 8700, 1681, 8820, 1849, 6534, 6975, 4232, 2209, 19089, 3577, 8700, 5202, 9126, 2809

Offset: 1

Ilya Gutkovskiy, Apr 11 2021

nonn

Cf. A000290, A027998, A045778, A050368, A329125, A343323, A343324, A343325.

A343323 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^3).

Original entry on oeis.org

1, 8, 27, 92, 125, 432, 343, 1080, 1080, 2000, 1331, 5940, 2197, 5488, 6750, 12070, 4913, 20304, 6859, 27500, 18522, 21296, 12167, 76680, 23375, 35152, 42291, 75460, 24389, 135000, 29791, 132408, 71874, 78608, 85750, 309204, 50653, 109744, 118638, 355000, 68921, 370440, 79507, 292820

Offset: 1

Ilya Gutkovskiy, Apr 11 2021

nonn

Cf. A000578, A045778, A050368, A248882, A343283, A343322, A343324, A343325.

A343324 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^4).

Original entry on oeis.org

1, 16, 81, 376, 625, 2592, 2401, 8752, 9801, 20000, 14641, 71928, 28561, 76832, 101250, 196252, 83521, 366768, 130321, 555000, 388962, 468512, 279841, 1859760, 585625, 913952, 1148202, 2132088, 707281, 4050000, 923521, 4307216, 2371842, 2672672, 3001250, 11242800, 1874161, 4170272

Offset: 1

Ilya Gutkovskiy, Apr 11 2021

nonn

Cf. A000583, A045778, A050368, A248883, A343284, A343322, A343323, A343325.

cp's OEIS Frontend

A343322 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^2).

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A343323 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^3).

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A343324 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^4).

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Author

Keywords

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