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 1-5 of 5 results.

A033722 Expansion of Product_{d | 10} theta_3(q^d).

Original entry on oeis.org

1, 2, 2, 4, 2, 2, 8, 4, 10, 10, 2, 16, 8, 12, 16, 4, 26, 20, 26, 24, 2, 32, 24, 28, 40, 2, 28, 40, 16, 28, 8, 24, 58, 48, 36, 4, 26, 44, 40, 56, 10, 36, 64, 36, 24, 10, 48, 52, 104, 66, 2, 72, 28, 60, 80, 16, 80, 80, 60, 56, 8, 60, 64, 116, 122, 12, 96, 76, 36, 96, 16, 72, 130
Offset: 0

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Author

N. J. A. Sloane

Keywords

References

  • J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p 102 eq 9.

Links

Crossrefs

Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + m*d^2 = n: A319822 (m=5), A320163 (m=6), A320164 (m=7), A320165 (m=8), A320166 (m=9), this sequence (m=10).

A320163 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 6*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 2, 2, 10, 8, 14, 18, 4, 16, 20, 12, 32, 20, 10, 36, 14, 12, 26, 8, 36, 44, 30, 14, 16, 40, 40, 64, 52, 20, 62, 60, 12, 64, 26, 36, 108, 32, 28, 40, 40, 44, 80, 54, 44, 92, 68, 42, 42, 60, 36, 108, 82, 52, 96, 72, 28, 80, 100, 52, 180, 104, 42, 96, 32, 68, 108
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

a(n) > 0 for n >= 0.

Links

Crossrefs

Cf. A319822, A320164, A320165, A320166, A033722.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^6).

A320164 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 7*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 2, 2, 8, 6, 14, 14, 8, 16, 8, 20, 20, 20, 30, 12, 30, 12, 10, 32, 16, 40, 40, 14, 16, 20, 22, 56, 48, 48, 34, 28, 52, 16, 70, 40, 48, 92, 24, 32, 32, 32, 56, 94, 56, 28, 56, 46, 58, 80, 48, 56, 88, 76, 72, 60, 48, 44, 108, 92, 40, 94, 82, 44, 120, 48, 40
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

a(n) > 0 for n >= 0.

Links

Crossrefs

Cf. A319822, A320163, A320165, A320166, A033722.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^7).

A320165 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 8*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 2, 2, 8, 4, 12, 14, 4, 20, 8, 8, 28, 8, 30, 32, 6, 28, 10, 16, 40, 20, 36, 26, 20, 24, 8, 36, 36, 48, 60, 16, 24, 40, 22, 56, 56, 40, 72, 52, 16, 36, 40, 38, 100, 52, 40, 70, 30, 48, 32, 56, 88, 84, 108, 48, 28, 84, 16, 108, 96, 44, 150, 48, 32, 52, 32, 64, 120
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

a(n) > 0 for n >= 0.

Links

Crossrefs

Cf. A319822, A320163, A320164, A320166, A033722.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^8).

A320166 Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + 9*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 2, 2, 8, 4, 10, 12, 4, 16, 12, 8, 16, 16, 18, 32, 26, 4, 26, 16, 24, 44, 16, 22, 32, 28, 12, 24, 20, 40, 66, 40, 8, 16, 44, 24, 76, 32, 20, 72, 40, 28, 32, 46, 36, 108, 60, 22, 58, 32, 48, 76, 56, 36, 80, 72, 68, 64, 64, 24, 96, 116, 42, 112, 48, 44, 104, 32
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

a(n) > 0 for n >= 0.

Links

Crossrefs

Cf. A319822, A320163, A320164, A320165, A033722.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^5) * theta_3(q^9).
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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