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 A004534 Theta series of {D_14}^{+} lattice. 1
 1, 0, 0, 0, 364, 0, 0, 8192, 16044, 0, 0, 114688, 200928, 0, 0, 745472, 1089452, 0, 0, 3096576, 4196920, 0, 0, 9691136, 12547808, 0, 0, 25346048, 31553344, 0, 0, 58261504, 70439852, 0, 0, 120553472, 142487436 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 Eric Weisstein's World of Mathematics, Jacobi Theta Functions FORMULA From Seiichi Manyama, Oct 21 2018: (Start) Expansion of (theta_2(q)^14 + theta_3(q)^14 + theta_4(q)^14)/2 in powers of q^(1/2). Expansion of (Sum_{k=-inf..inf} q^((k+1/2)^2))^14 + (Sum_{k=-inf..inf} q^(k^2))^14 + (Sum_{k=-inf..inf} (-1)^k * q^(k^2))^14 in powers of q^(1/2). (End) CROSSREFS Cf. A000122 (theta_3(q)), A002448 (theta_4(q), A022045. Sequence in context: A158309 A098251 A115464 * A256087 A260837 A272359 Adjacent sequences:  A004531 A004532 A004533 * A004535 A004536 A004537 KEYWORD nonn AUTHOR STATUS approved

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Last modified January 18 19:37 EST 2022. Contains 350455 sequences. (Running on oeis4.)