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A004536

Theta series of 15-dimensional unimodular lattice A15+.

1, 0, 240, 3640, 23790, 99456, 323680, 895680, 2139780, 4528640, 8971872, 16946280, 29822520, 49365120, 80003520, 127221568, 193388910, 282616320, 409634640, 590913960, 825575016, 1115613440

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.

LINKS

Table of n, a(n) for n=0..21.

J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24, Mathematika, 25 (1978), 36-43.

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

G. Nebe and N. J. A. Sloane, Home page for this lattice

CROSSREFS

Sequence in context: A357257 A005950 A279746 * A234720 A249533 A324070

Adjacent sequences: A004533 A004534 A004535 * A004537 A004538 A004539

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane

STATUS

approved