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 A029696 Theta series of 7-dimensional lattice Kappa_7*. 1
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 22, 0, 0, 64, 0, 0, 0, 0, 40, 0, 0, 64, 44, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 240, 0, 0, 448, 0, 0, 0, 0, 112, 0, 0, 384, 480, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 450, 0, 0, 1408, 0, 0, 0, 0, 480, 0, 0, 960, 812 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 REFERENCES J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 161. LINKS Sean A. Irvine, Table of n, a(n) for n = 0..1000 Sean A. Irvine, Java program (github) G. Nebe and N. J. A. Sloane, Home page for this lattice EXAMPLE G.f. = 1 + 2*q^12 + 22*q^16 + ... PROG (Magma) L := Dual(Lattice("Kappa", 7)); B := Basis(ThetaSeriesModularFormSpace(L), 100); S := [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 22, 0, 0, 64, 0, 0, 0, 0, 40, 64]; Coefficients(&+[B[i] * S[i] : i in [1..26]]); // Andy Huchala, Jul 24 2021 CROSSREFS Cf. A015236. Sequence in context: A342376 A277443 A209401 * A118887 A057383 A218881 Adjacent sequences: A029693 A029694 A029695 * A029697 A029698 A029699 KEYWORD nonn AUTHOR EXTENSIONS More terms from Sean A. Irvine, Mar 02 2020 STATUS approved

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Last modified March 21 06:15 EDT 2023. Contains 361392 sequences. (Running on oeis4.)