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A004532
Theta series of {D_10}^{+} lattice.
1
1, 0, 0, 0, 180, 512, 0, 0, 3380, 5120, 0, 0, 16320, 23040, 0, 0, 52020, 66560, 0, 0, 129064, 153600, 0, 0, 262080, 313344, 0, 0, 489600, 565760, 0, 0, 840500, 936960, 0, 0, 1330420, 1497600, 0, 0, 2050344, 2263040
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)^10 + theta_3(q)^10 + theta_4(q)^10)/2 in powers of q^(1/2).
Expansion of (Sum_{k=-inf..inf} q^((k+1/2)^2))^10 + (Sum_{k=-inf..inf} q^(k^2))^10 + (Sum_{k=-inf..inf} (-1)^k * q^(k^2))^10 in powers of q^(1/2). (End)
CROSSREFS
Cf. A000122 (theta_3(q)), A002448 (theta_4(q)), A008432.
Sequence in context: A015233 A307112 A211552 * A143793 A205818 A259312
KEYWORD
nonn
STATUS
approved