A004537 Theta series of 23-dimensional shorter Leech lattice.

1, 0, 0, 4600, 93150, 953856, 6476800, 32788800, 133204500, 458086400, 1384998912, 3771829800, 9403968600, 21771763200, 47406643200, 97917423808, 192825064350, 364086835200, 663509299200, 1171711866600

Offset

0,4

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 441.

Links

Table of n, a(n) for n=0..19.

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.

Crossrefs

Sequence in context: A231022 A251385 A185470 * A204655 A204652 A032745

Adjacent sequences: A004534 A004535 A004536 * A004538 A004539 A004540

Keyword

nonn,nice

Author

N. J. A. Sloane

Status

approved