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A022069
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Theta series of D*_16 lattice.
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1
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1, 32, 480, 4480, 94688, 140736, 1574528, 1580800, 11858400, 8945824, 56374848, 36714624, 202983040, 118156480, 593481984, 321692928, 1519972832, 772845120, 3450308960, 1681379200, 7246599744, 3392205824, 14048841600, 6411152640, 25979733632, 11488092896
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
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LINKS
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EXAMPLE
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G.f. = 1 + 32*q^2 + 480*q^4 + ...
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PROG
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(Sage)
L = [1, 32, 480]
M = ModularForms(Gamma0(2), 8)
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 13 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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