A022083 Theta series of D*_30 lattice.

1, 0, 60, 0, 1740, 0, 32480, 0, 438540, 0, 4563672, 0, 38099040, 0, 262336320, 1073741824, 1521151500, 0, 7553367900, 32212254720, 32592806520, 0, 123909200160, 467077693440, 420775407200, 0, 1294230433560, 4391604060160, 3655476494400, 0, 9600504649920

Offset

0,3

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

Example

G.f. = 1 + 60*q^2 + 1740*q^4 + ...

Prog

(Sage)
L = [1, 0, 60, 0, 1740, 0, 32480, 0]
M = ModularForms(Gamma1(4), 15)
bases = [_.q_expansion(30) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 15 2021

Crossrefs

Sequence in context: A087535 A058931 A092914 * A174675 A016532 A075080

Adjacent sequences: A022080 A022081 A022082 * A022084 A022085 A022086

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 15 2021

Status

approved