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.

Previous Showing 11-20 of 20 results.

A055758 Jacobi form of weight 12 and index 1 for Niemeier lattice of type D_6^4 or A_9^2 D_6.

Original entry on oeis.org

1, 0, 0, 16, 206, 0, 0, 30976, 128436, 0, 0, 3694512, 9187672, 0, 0, 95530752, 188181918, 0, 0, 1143410224, 1959966600, 0, 0, 8506404096, 13292144712, 0, 0, 45760510784, 67075409984, 0, 0, 195395738112, 272568519828, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Crossrefs

A008696, A055747, A003785.

Formula

E_8*E_{4, 1}-40*phi_12.
G.f.: b(z) - 40*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055759 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_8^3.

Original entry on oeis.org

1, 0, 0, 14, 186, 0, 0, 31152, 128700, 0, 0, 3691962, 9186200, 0, 0, 95546832, 188187678, 0, 0, 1143362154, 1959940440, 0, 0, 8506432368, 13292252952, 0, 0, 45760768472, 67075179072, 0, 0, 195394959072, 272568443796, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

Crossrefs

Cf. A008697, A055747, A003785.

Formula

E_8*E_{4, 1}-42*phi_12.
G.f.: b(z) - 42*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055760 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_7^2 D_5^2.

Original entry on oeis.org

1, 0, 0, 12, 166, 0, 0, 31328, 128964, 0, 0, 3689412, 9184728, 0, 0, 95562912, 188193438, 0, 0, 1143314084, 1959914280, 0, 0, 8506460640, 13292361192, 0, 0, 45761026160, 67074948160, 0, 0, 195394180032, 272568367764, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

Crossrefs

Cf. A008698, A055747, A003785.

Formula

E_8*E_{4, 1}-44*phi_12.
G.f.: b(z) - 44*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055761 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_6^4.

Original entry on oeis.org

1, 0, 0, 10, 146, 0, 0, 31504, 129228, 0, 0, 3686862, 9183256, 0, 0, 95578992, 188199198, 0, 0, 1143266014, 1959888120, 0, 0, 8506488912, 13292469432, 0, 0, 45761283848, 67074717248, 0, 0, 195393400992, 272568291732, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

Crossrefs

Cf. A008699, A055747, A003785.

Formula

E_8*E_{4, 1}-46*phi_12.
G.f.: b(z) - 46*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055762 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_5^4 D_4 or D_4^6.

Original entry on oeis.org

1, 0, 0, 8, 126, 0, 0, 31680, 129492, 0, 0, 3684312, 9181784, 0, 0, 95595072, 188204958, 0, 0, 1143217944, 1959861960, 0, 0, 8506517184, 13292577672, 0, 0, 45761541536, 67074486336, 0, 0, 195392621952, 272568215700, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser, 1985.

Crossrefs

Cf. A008700, A055747, A003785.

Formula

E_8*E_{4, 1}-48*phi_12.
G.f.: b(z) - 48*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055763 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_4^6.

Original entry on oeis.org

1, 0, 0, 6, 106, 0, 0, 31856, 129756, 0, 0, 3681762, 9180312, 0, 0, 95611152, 188210718, 0, 0, 1143169874, 1959835800, 0, 0, 8506545456, 13292685912, 0, 0, 45761799224, 67074255424, 0, 0, 195391842912, 272568139668, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Crossrefs

A008701, A055747, A003785.

Formula

E_8*E_{4, 1}-50*phi_12.
G.f.: b(z) - 50*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055764 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_3^8.

Original entry on oeis.org

1, 0, 0, 4, 86, 0, 0, 32032, 130020, 0, 0, 3679212, 9178840, 0, 0, 95627232, 188216478, 0, 0, 1143121804, 1959809640, 0, 0, 8506573728, 13292794152, 0, 0, 45762056912, 67074024512, 0, 0, 195391063872, 272568063636, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Crossrefs

A008702, A055747, A003785.

Formula

E_8*E_{4, 1}-52*phi_12.
G.f.: b(z) - 52*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055765 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_2^12.

Original entry on oeis.org

1, 0, 0, 2, 66, 0, 0, 32208, 130284, 0, 0, 3676662, 9177368, 0, 0, 95643312, 188222238, 0, 0, 1143073734, 1959783480, 0, 0, 8506602000, 13292902392, 0, 0, 45762314600, 67073793600, 0, 0, 195390284832, 272567987604, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Crossrefs

A008703, A055747, A003785.

Formula

E_8*E_{4, 1}-54*phi_12.
G.f.: b(z) - 54*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A055766 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_1^24.

Original entry on oeis.org

1, 0, 0, 0, 46, 0, 0, 32384, 130548, 0, 0, 3674112, 9175896, 0, 0, 95659392, 188227998, 0, 0, 1143025664, 1959757320, 0, 0, 8506630272, 13293010632, 0, 0, 45762572288, 67073562688, 0, 0, 195389505792, 272567911572, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Keywords

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Crossrefs

Cf. A008704, A055747, A003785.

Formula

E_8*E_{4, 1}-56*phi_12.
G.f.: b(z) - 56*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

A056950 Jacobi form of weight 12 and index 1 associated with a nonexistent Niemeier lattice of Coxeter number 11.

Original entry on oeis.org

1, 0, 0, 18, 226, 0, 0, 30800, 128172, 0, 0, 3697062, 9189144, 0, 0, 95514672, 188176158, 0, 0, 1143458294, 1959992760, 0, 0, 8506375824, 13292036472, 0, 0, 45760253096, 67075640896, 0, 0, 195396517152, 272568595860, 0, 0
Offset: 0

Views

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 18 2000

Keywords

Comments

a(n)>=0, for n<1000.

References

  • Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser 1985.

Crossrefs

Cf. A003785, A055747, A056945.

Formula

E_8 * E_{4, 1} + (2*h - 60) * E_{12, 1} where h = 11.
a(n) = A055747(n) - 38*A003785(n). - Sean A. Irvine, May 18 2022
Previous Showing 11-20 of 20 results.

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