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 1-10 of 12 results. Next

A320193 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 4*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 6, 8, 12, 16, 14, 14, 24, 20, 20, 24, 16, 16, 30, 36, 14, 36, 40, 32, 60, 48, 36, 42, 72, 40, 48, 56, 16, 64, 62, 40, 36, 64, 42, 72, 108, 48, 72, 84, 96, 84, 100, 56, 48, 96, 68, 114, 42, 72, 120, 104, 120, 80, 112, 72, 168, 116, 48, 120, 64, 112, 126, 96
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4)^2.

A320194 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 5*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 6, 12, 12, 14, 14, 16, 20, 24, 24, 12, 24, 20, 24, 34, 12, 26, 36, 44, 36, 40, 38, 40, 80, 44, 32, 44, 40, 54, 72, 24, 24, 68, 48, 76, 64, 56, 48, 104, 84, 40, 98, 36, 84, 104, 50, 58, 56, 84, 104, 112, 76, 48, 120, 120, 92, 128, 60, 80, 132, 76, 96
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^5).

A320195 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 6*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 10, 12, 10, 14, 16, 12, 24, 28, 12, 20, 28, 16, 26, 36, 8, 24, 48, 24, 30, 42, 28, 40, 72, 28, 32, 60, 34, 60, 64, 24, 28, 76, 36, 56, 80, 40, 60, 84, 72, 52, 96, 48, 72, 86, 42, 80, 56, 52, 82, 96, 36, 72, 112, 60, 120, 124, 60, 84, 124, 56, 96, 132, 32
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320196, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^6).

A320196 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 7*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 10, 10, 10, 16, 12, 16, 28, 16, 20, 24, 24, 18, 28, 32, 8, 40, 32, 24, 34, 32, 32, 34, 56, 20, 40, 42, 40, 64, 56, 32, 32, 72, 28, 72, 64, 32, 60, 72, 84, 36, 88, 56, 66, 98, 40, 80, 40, 80, 104, 68, 44, 40, 92, 52, 116, 80, 42, 72, 100, 96, 84
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^7).

A320197 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 9*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 8, 12, 8, 16, 20, 8, 24, 28, 20, 22, 28, 16, 24, 48, 8, 24, 38, 24, 36, 40, 20, 16, 64, 22, 32, 44, 24, 46, 56, 36, 16, 64, 28, 64, 68, 36, 56, 56, 72, 56, 90, 26, 56, 88, 44, 92, 48, 48, 80, 108, 48, 48, 96, 40, 120, 92, 16, 48, 108, 52
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320198, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^9).

A320198 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 10*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 10, 8, 12, 20, 8, 16, 28, 24, 22, 24, 24, 16, 40, 32, 8, 30, 32, 32, 36, 28, 16, 32, 54, 32, 32, 36, 28, 52, 56, 16, 26, 44, 32, 60, 48, 44, 40, 72, 84, 46, 74, 32, 72, 76, 48, 80, 24, 64, 92, 72, 52, 52, 96, 64, 92, 84, 32, 92, 96
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320199, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^10).

A320199 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 11*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 6, 12, 16, 8, 16, 20, 24, 26, 24, 20, 24, 32, 24, 32, 14, 24, 40, 32, 24, 24, 32, 22, 64, 32, 24, 40, 36, 56, 40, 32, 8, 48, 32, 42, 56, 20, 48, 72, 74, 42, 72, 52, 56, 88, 48, 56, 40, 56, 76, 76, 56, 36, 96, 52, 88, 112, 44, 64, 92, 88
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320200, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^11).

A320200 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 12*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 10, 16, 4, 16, 20, 16, 26, 28, 20, 20, 40, 16, 24, 38, 8, 32, 40, 20, 20, 40, 22, 32, 64, 24, 28, 48, 40, 40, 56, 16, 16, 52, 20, 52, 32, 32, 50, 62, 62, 32, 80, 36, 80, 80, 28, 68, 40, 52, 80, 80, 20, 56, 84, 48, 100, 100, 32, 64
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320201, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^12).

A320201 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 13*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 8, 14, 4, 12, 20, 16, 18, 28, 24, 20, 36, 24, 16, 30, 32, 16, 32, 28, 16, 36, 30, 32, 32, 56, 28, 36, 52, 24, 56, 40, 24, 20, 40, 32, 32, 48, 40, 42, 50, 56, 42, 64, 52, 64, 48, 40, 80, 28, 60, 80, 52, 52, 44, 80, 40, 108, 88, 32, 100
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320202.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^13).

A320202 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 14*d^2 = n.

Original entry on oeis.org

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 8, 12, 2, 12, 16, 16, 18, 20, 24, 24, 36, 20, 24, 22, 24, 40, 16, 20, 24, 32, 26, 40, 32, 24, 60, 36, 40, 36, 40, 40, 48, 28, 8, 52, 12, 48, 56, 34, 34, 48, 72, 28, 80, 40, 34, 60, 44, 60, 24, 60, 64, 76, 44, 36, 80, 60, 96, 88, 48, 56
Offset: 0

Views

Author

Seiichi Manyama, Oct 07 2018

Keywords

Comments

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

Links

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201.

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^14).
Showing 1-10 of 12 results. Next

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

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