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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
OFFSET
0,5
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
LINKS
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
KEYWORD
nonn
STATUS
approved