cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

A339718 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^3.

Original entry on oeis.org

1, -3, -3, 3, -3, 6, -3, -4, 3, 6, -3, -3, -3, 6, 6, 9, -3, -3, -3, -3, 6, 6, -3, 9, 3, 6, -4, -3, -3, -3, -3, -12, 6, 6, 6, 3, -3, 6, 6, 9, -3, -3, -3, -3, -3, 6, -3, -18, 3, -3, 6, -3, -3, 9, 6, 9, 6, 6, -3, -3, -3, 6, -3, 15, 6, -3, -3, -3, 6, -3, -3, -15, -3, 6, -3, -3, 6, -3, -3, -18
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

Crossrefs

Cf. A022598, A316441, A339335, A339717, A339719, A339720, A339721, A339722.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339335(n/d) * a(d).
a(p^k) = A022598(k) for prime p.

A339336 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^4.

Original entry on oeis.org

1, 4, 4, 10, 4, 20, 4, 24, 10, 20, 4, 60, 4, 20, 20, 51, 4, 60, 4, 60, 20, 20, 4, 156, 10, 20, 24, 60, 4, 116, 4, 100, 20, 20, 20, 206, 4, 20, 20, 156, 4, 116, 4, 60, 60, 20, 4, 360, 10, 60, 20, 60, 4, 156, 20, 156, 20, 20, 4, 396, 4, 20, 60, 190, 20, 116, 4, 60, 20, 116, 4, 580
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022569, A045778, A328706, A339319, A339335, A339337, A339338, A339339, A339340, A339341.

Formula

a(p^k) = A022569(k) for prime p.

A339337 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^5.

Original entry on oeis.org

1, 5, 5, 15, 5, 30, 5, 40, 15, 30, 5, 105, 5, 30, 30, 95, 5, 105, 5, 105, 30, 30, 5, 305, 15, 30, 40, 105, 5, 205, 5, 206, 30, 30, 30, 415, 5, 30, 30, 305, 5, 205, 5, 105, 105, 30, 5, 780, 15, 105, 30, 105, 5, 305, 30, 305, 30, 30, 5, 805, 5, 30, 105, 425, 30, 205, 5, 105
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022570, A045778, A328706, A339320, A339335, A339336, A339338, A339339, A339340, A339341.

Formula

a(p^k) = A022570(k) for prime p.

A339338 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^6.

Original entry on oeis.org

1, 6, 6, 21, 6, 42, 6, 62, 21, 42, 6, 168, 6, 42, 42, 162, 6, 168, 6, 168, 42, 42, 6, 540, 21, 42, 62, 168, 6, 330, 6, 384, 42, 42, 42, 750, 6, 42, 42, 540, 6, 330, 6, 168, 168, 42, 6, 1512, 21, 168, 42, 168, 6, 540, 42, 540, 42, 42, 6, 1464, 6, 42, 168, 855, 42, 330
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022571, A045778, A328706, A339321, A339335, A339336, A339337, A339339, A339340, A339341.

Formula

a(p^k) = A022571(k) for prime p.

A339339 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^7.

Original entry on oeis.org

1, 7, 7, 28, 7, 56, 7, 91, 28, 56, 7, 252, 7, 56, 56, 259, 7, 252, 7, 252, 56, 56, 7, 889, 28, 56, 91, 252, 7, 497, 7, 665, 56, 56, 56, 1253, 7, 56, 56, 889, 7, 497, 7, 252, 252, 56, 7, 2702, 28, 252, 56, 252, 7, 889, 56, 889, 56, 56, 7, 2457, 7, 56, 252, 1589
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022572, A045778, A328706, A339322, A339335, A339336, A339337, A339338, A339340, A339341.

Formula

a(p^k) = A022572(k) for prime p.

A339340 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^8.

Original entry on oeis.org

1, 8, 8, 36, 8, 72, 8, 128, 36, 72, 8, 360, 8, 72, 72, 394, 8, 360, 8, 360, 72, 72, 8, 1384, 36, 72, 128, 360, 8, 712, 8, 1088, 72, 72, 72, 1972, 8, 72, 72, 1384, 8, 712, 8, 360, 360, 72, 8, 4536, 36, 360, 72, 360, 8, 1384, 72, 1384, 72, 72, 8, 3880, 8, 72, 360
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022573, A045778, A328706, A339323, A339335, A339336, A339337, A339338, A339339, A339341.

Formula

a(p^k) = A022573(k) for prime p.

A339341 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^9.

Original entry on oeis.org

1, 9, 9, 45, 9, 90, 9, 174, 45, 90, 9, 495, 9, 90, 90, 576, 9, 495, 9, 495, 90, 90, 9, 2061, 45, 90, 174, 495, 9, 981, 9, 1701, 90, 90, 90, 2961, 9, 90, 90, 2061, 9, 981, 9, 495, 495, 90, 9, 7245, 45, 495, 90, 495, 9, 2061, 90, 2061, 90, 90, 9, 5841, 9, 90, 495
Offset: 1

Views

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

Crossrefs

Cf. A022574, A045778, A328706, A339324, A339335, A339336, A339337, A339338, A339339, A339340.

Formula

a(p^k) = A022574(k) for prime p.

A349924 Dirichlet g.f.: Product_{k>=2} (1 + 3 * k^(-s)).

Original entry on oeis.org

1, 3, 3, 3, 3, 12, 3, 12, 3, 12, 3, 21, 3, 12, 12, 12, 3, 21, 3, 21, 12, 12, 3, 57, 3, 12, 12, 21, 3, 57, 3, 21, 12, 12, 12, 57, 3, 12, 12, 57, 3, 57, 3, 21, 21, 12, 3, 93, 3, 21, 12, 21, 3, 57, 12, 57, 12, 12, 3, 129, 3, 12, 21, 48, 12, 57, 3, 21, 12, 57
Offset: 1

Views

Author

Ilya Gutkovskiy, Dec 05 2021

Keywords

Crossrefs

Cf. A032308, A045778, A339335, A347149, A349923.
Showing 1-8 of 8 results.

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