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A022071 Theta series of D*_18 lattice. 1
1, 0, 36, 0, 612, 0, 6528, 0, 48996, 262144, 275400, 0, 1207680, 4718592, 4269312, 0, 12573540, 40108032, 32041636, 0, 73617480, 218628096, 157553280, 0, 318102912, 882376704, 605381832, 0, 1090632960, 2887778304, 1888224000, 0, 3176573796, 8119910400 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
LINKS
EXAMPLE
G.f. = 1 + 36*q^2 + 612*q^4 + ...
PROG
(Sage)
L = [1, 0, 36, 0, 612]
M = ModularForms(Gamma1(4), 9)
bases = [_.q_expansion(40) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 14 2021
CROSSREFS
Sequence in context: A265489 A262795 A309379 * A181635 A174673 A203277
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Andy Huchala, Jul 14 2021
STATUS
approved

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Last modified July 25 08:40 EDT 2024. Contains 374586 sequences. (Running on oeis4.)