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 13 results. Next

A328527 G.f. = Phi^2, where Phi = g.f. for A028930.

Original entry on oeis.org

1, 0, 4, 4, 8, 8, 16, 8, 16, 12, 16, 16, 28, 12, 24, 32, 36, 16, 44, 24, 48, 40, 40, 0, 60, 32, 48, 44, 64, 36, 72, 36, 64, 48, 64, 48, 100, 40, 64, 60, 104, 44, 104, 48, 88, 88, 4, 52, 144, 64, 108, 72, 108, 64, 128, 80, 136, 88, 96, 64, 184, 64, 96
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See Phi_k, p. 188. (A028930 is Phi_1.)

Crossrefs

Cf. A028930.

A328528 G.f. = Phi^3, where Phi = g.f. for A028930.

Original entry on oeis.org

1, 0, 6, 6, 18, 24, 50, 48, 90, 86, 120, 120, 176, 150, 240, 240, 288, 288, 440, 360, 504, 480, 600, 528, 818, 528, 738, 758, 1008, 774, 1200, 918, 1260, 1200, 1440, 1056, 1714, 1368, 1800, 1574, 2040, 1494, 2400, 1848, 2520, 2184, 2502, 2070, 3046
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See Phi_k, p. 188. (A028930 is Phi_1.)

Crossrefs

Cf. A028930.

A328529 G.f. = Phi^4, where Phi = g.f. for A028930.

Original entry on oeis.org

1, 0, 8, 8, 32, 48, 112, 144, 288, 344, 544, 640, 920, 984, 1424, 1536, 2024, 2272, 3016, 3088, 4160, 4432, 5488, 5760, 7432, 7104, 9232, 9368, 11040, 10824, 14352, 13576, 16944, 16992, 20096, 19488, 25240, 23024, 27648, 27768, 33648, 31128, 39536
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See Phi_k, p. 188. (A028930 is Phi_1.)

Crossrefs

Cf. A028930.

A328530 G.f. = Phi^5, where Phi = g.f. for A028930.

Original entry on oeis.org

1, 0, 10, 10, 50, 80, 210, 320, 690, 970, 1712, 2320, 3580, 4490, 6560, 7872, 10780, 12960, 17180, 19920, 26352, 30240, 38320, 44000, 55310, 60960, 76530, 84010, 101280, 110890, 135072, 142250, 172900, 186240, 219840, 234240, 280590, 289680, 344400
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See Phi_k, p. 188. (A028930 is Phi_1.)

Crossrefs

Cf. A028930.

A328531 G.f. = Phi^6, where Phi = g.f. for A028930.

Original entry on oeis.org

1, 0, 12, 12, 72, 120, 352, 600, 1392, 2212, 4272, 6480, 10868, 15396, 23784, 31712, 45708, 59184, 81172, 101928, 136752, 167864, 218712, 266112, 339364, 403680, 509664, 597060, 736416, 856236, 1043032, 1186860, 1438416, 1627216, 1935936, 2181840
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See Phi_k, p. 188, also p. 196. (A028930 is Phi_1.)

Crossrefs

Cf. A028930.

A328532 G.f. = Phi^5*F, where Phi = g.f. for A028930, F = g.f. for A028959.

Original entry on oeis.org

1, 2, 10, 30, 72, 180, 394, 760, 1474, 2552, 4312, 6764, 10664, 15290, 22764, 31252, 44134, 58360, 80192, 101988, 135852, 169552, 218968, 267170, 340142, 406342, 507626, 600242, 735996, 856054, 1042952, 1193878, 1435032, 1633492, 1943892, 2185304
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See p. 196. (A028930 is Phi_1, A028959 is F_1.)

Crossrefs

A328533 G.f. = Phi^4*F^2, where Phi = g.f. for A028930, F = g.f. for A028959.

Original entry on oeis.org

1, 4, 12, 40, 100, 216, 472, 896, 1580, 2732, 4408, 6816, 10400, 15280, 22000, 31088, 43308, 58072, 78804, 102176, 134056, 169408, 218320, 268228, 339768, 409244, 507744, 603368, 738000, 859424, 1041376, 1200664, 1435908, 1639184, 1943224, 2186656
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See p. 196. (A028930 is Phi_1, A028959 is F_1.)

Crossrefs

A328534 G.f. = Phi^3*F^3, where Phi = g.f. for A028930, F = g.f. for A028959.

Original entry on oeis.org

1, 6, 18, 50, 132, 276, 530, 1008, 1710, 2760, 4464, 6828, 10268, 15246, 21828, 30820, 42750, 57696, 77032, 101916, 132564, 169736, 216816, 269286, 338490, 412386, 507354, 605278, 739308, 865314, 1042944, 1207962, 1437132, 1643508, 1943628, 2191176
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See p. 196. (A028930 is Phi_1, A028959 is F_1.)

Crossrefs

A328535 G.f. = Phi^2*F^4, where Phi = g.f. for A028930, F = g.f. for A028959.

Original entry on oeis.org

1, 8, 28, 68, 160, 344, 608, 1032, 1784, 2836, 4416, 6928, 10348, 15260, 21848, 30112, 42012, 57312, 76308, 101272, 131648, 169064, 215496, 270344, 335484, 415128, 506736, 608908, 738976, 873268, 1045160, 1214468, 1437016, 1648432, 1946832, 2201072
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See p. 196. (A028930 is Phi_1, A028959 is F_1.)

Crossrefs

A328536 G.f. = Phi*F^5, where Phi = g.f. for A028930, F = g.f. for A028959.

Original entry on oeis.org

1, 10, 42, 102, 192, 372, 682, 1064, 1706, 2936, 4680, 7084, 10384, 14786, 21564, 30260, 41094, 57288, 76368, 99540, 130972, 167168, 214984, 271402, 333430, 414590, 507546, 613482, 738364, 881518, 1041144, 1225406, 1437184, 1656212, 1951012, 2215480
Offset: 0

Views

Author

N. J. A. Sloane, Oct 18 2019

Keywords

References

  • Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See p. 196. (A028930 is Phi_1, A028959 is F_1.)

Crossrefs

Showing 1-10 of 13 results. Next