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A022065 Theta series of D*_12 lattice. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 17 12:17 EST 2022. Contains 350394 sequences. (Running on oeis4.)