A344248 -id:A344248 - cp's OEIS frontend

A344247 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(3^(k-1)).

1, 3, 9, 33, 81, 270, 729, 2278, 6606, 19926, 59049, 178173, 531441, 1596510, 4783698, 14356023, 43046721, 129162168, 387420489, 1162323189, 3486790962, 10460530350, 31381059609, 94143738789, 282429539802, 847290203766, 2541865887543, 7625602292013, 22876792454961, 68630391912807

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344248, A344249, A344250, A344251, A344252, A344253.

A344249 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(5^(k-1)).

Original entry on oeis.org

1, 5, 25, 140, 625, 3250, 15625, 78785, 390950, 1956250, 9765625, 48847250, 244140625, 1220781250, 6103531250, 30517978570, 152587890625, 762941486000, 3814697265625, 19073496181250, 95367432031250, 476837207031250, 2384185791015625, 11920929201625875, 59604644775586250

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344247, A344248, A344250, A344251, A344252, A344253.

A344250 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(6^(k-1)).

Original entry on oeis.org

1, 6, 36, 237, 1296, 7992, 46656, 281288, 1680282, 10085472, 60466176, 362852244, 2176782336, 13060973952, 78364210752, 470186692290, 2821109907456, 16926669806364, 101559956668416, 609359800783824, 3656158441742592, 21936951003174912, 131621703842267136

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344247, A344248, A344249, A344251, A344252, A344253.

A344251 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(7^(k-1)).

Original entry on oeis.org

1, 7, 49, 371, 2401, 17150, 117649, 826028, 5766026, 40370414, 282475249, 1977462571, 13841287201, 96889833950, 678223190498, 4747567343554, 33232930569601, 232630555172932, 1628413597910449, 11398895468739163, 79792266303376802, 558545866060610750

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344247, A344248, A344249, A344250, A344252, A344253.

A344252 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(8^(k-1)).

Original entry on oeis.org

1, 8, 64, 548, 4096, 33280, 262144, 2101368, 16779296, 134250496, 1073741824, 8590231808, 68719476736, 549757911040, 4398046773248, 35184389016138, 281474976710656, 2251799950016768, 18014398509481984, 144115189151842304, 1152921504623624192, 9223372045444710400

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344247, A344248, A344249, A344250, A344251, A344253.

A344253 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(9^(k-1)).

Original entry on oeis.org

1, 9, 81, 774, 6561, 59778, 531441, 4789695, 43050042, 387479538, 3486784401, 31381653744, 282429536481, 2541870611298, 22876792986402, 205891175440755, 1853020188851841, 16677182091899916, 150094635296999121, 1350851721164854704, 12157665459099975522, 109418989162893418818

Offset: 1

Ilya Gutkovskiy, May 12 2021

nonn

Cf. A001055, A050367, A329800, A344247, A344248, A344249, A344250, A344251, A344252.

A344267 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(4^(k-1)).

Original entry on oeis.org

1, 4, 16, 70, 256, 1088, 4096, 16644, 65656, 263168, 1048576, 4199520, 16777216, 67125248, 268439552, 1073809761, 4294967296, 17180148192, 68719476736, 274878973440, 1099511693312, 4398050705408, 17592186044416, 70368761292864, 281474976743296, 1125899973951488, 4503599628419632

Offset: 1

Ilya Gutkovskiy, May 13 2021

nonn

Cf. A045778, A050368, A344248, A344265, A344266, A344268, A344269, A344270, A344271.

cp's OEIS Frontend

A344247 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(3^(k-1)).

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A344249 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(5^(k-1)).

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A344250 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(6^(k-1)).

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A344251 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(7^(k-1)).

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Author

Keywords

Crossrefs

A344252 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(8^(k-1)).

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Author

Keywords

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A344253 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(9^(k-1)).

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Author

Keywords

Crossrefs

A344267 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(4^(k-1)).

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Author

Keywords

Crossrefs