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 A022069 Theta series of D*_16 lattice. 1
 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 (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 EXAMPLE G.f. = 1 + 32*q^2 + 480*q^4 + ... PROG (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 CROSSREFS Sequence in context: A250319 A000152 A319307 * A250560 A203720 A306411 Adjacent sequences: A022066 A022067 A022068 * A022070 A022071 A022072 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Andy Huchala, Jul 13 2021 STATUS approved

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Last modified December 7 23:30 EST 2023. Contains 367662 sequences. (Running on oeis4.)