A022065 Theta series of D*_12 lattice.

1, 24, 264, 5856, 7944, 75024, 64416, 403392, 253704, 1423032, 825264, 3865248, 1938336, 8911056, 4437312, 18305856, 8118024, 34076592, 15653352, 59426400, 24832944, 98427648, 42517728, 154472256, 61903776, 234450024, 98021616, 345796800, 133522752, 492267600

Offset

0,2

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

Links

Andy Huchala, Table of n, a(n) for n = 0..20000

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

Example

G.f. = 1 + 24*q^2 + 264*q^4 + ...

Prog

(Sage)
L = [1, 24]
M = ModularForms(Gamma0(2), 6)
bases = [_.q_expansion(20) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 13 2021

Crossrefs

Sequence in context: A286346 A126904 A001413 * A125412 A270846 A187048

Adjacent sequences: A022062 A022063 A022064 * A022066 A022067 A022068

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved