A343322 -id:A343322 - cp's OEIS frontend

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

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.

A343325 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^5).

Original entry on oeis.org

1, 32, 243, 1520, 3125, 15552, 16807, 70496, 88452, 200000, 161051, 867024, 371293, 1075648, 1518750, 3164792, 1419857, 6609600, 2476099, 11150000, 8168202, 10307264, 6436343, 44875296, 14646875, 23762752, 31059855, 59967376, 20511149, 121500000, 28629151, 138957472, 78270786, 90870848

Offset: 1

Ilya Gutkovskiy, Apr 11 2021

nonn

Cf. A000584, A045778, A050368, A248884, A343285, A343322, A343323, A343324.

cp's OEIS Frontend

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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A343325 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k^5).

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