A024211 Theta series of laminated lattice LAMBDA_25 with minimal norm 4.

1, 0, 0, 0, 196656, 8192, 16967424, 2260992, 414835410, 91570176, 5027174400, 1453260800, 39049024416, 13212672000, 221932184576, 82994429952

Offset

0,5

Comments

Theta series is an element of space of modular forms on Gamma_1(128) with Kronecker character 8 in modulus 128, weight 25/2, and dimension 192 over the integers. - Andy Huchala, May 04 2023

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 177.

Links

Table of n, a(n) for n=0..15.

Andy Huchala, Magma program

G. Nebe and N. J. A. Sloane, Home page for this lattice

Index entries for sequences related to laminated lattices

Example

Derivation from Leech lattice sequences A004034 and A008408:
.........1 = .........................1
.........0 = .........................0
.........0 = ............0.+..........0.+.........0
.........0 = ............0.+..........0.+.........0
....196656 = ...........48.+.....196560.+........48
......8192 = .........4096.+..........0.+......4096
..16967424 = ........97152.+...16773120.+.....97152
...2260992 = ......1130496.+..........0.+...1130496
.414835410 = 1.+...8400704.+..398034000.+...8400704.+.1
..91570176 = 0.+..45785088.+..........0.+..45785088.+.0
5027174400 = 0.+.198896640.+.4629381120.+.198896640.+.0
G.f. = 1 + 19665x*q^32 + 8192*q^40 + 16967424*q^48 + ...

Crossrefs

Sequence in context: A037148 A323282 A175744 * A204943 A345657 A113919

Adjacent sequences: A024208 A024209 A024210 * A024212 A024213 A024214

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Corrected and extended by Edward Pervin, Jun 10 2002

a(11)-a(15) from Andy Huchala, May 04 2023

Status

approved