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A024211 Theta series of laminated lattice LAMBDA_25 with minimal norm 4. 1
1, 0, 0, 0, 196656, 8192, 16967424, 2260992, 414835410, 91570176, 5027174400, 1453260800, 39049024416, 13212672000, 221932184576, 82994429952 (list; graph; refs; listen; history; text; internal format)
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
Andy Huchala, Magma program
G. Nebe and N. J. A. Sloane, Home page for this lattice
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
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Corrected and extended by Edward Pervin, Jun 10 2002
a(11)-a(15) from Andy Huchala, May 04 2023
STATUS
approved

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Last modified May 28 16:48 EDT 2024. Contains 372916 sequences. (Running on oeis4.)