A006917 Theta series of laminated lattice LAMBDA_13^{max}. (Formerly M5485)

1, 0, 906, 6144, 38424, 102400, 359344, 651264, 1743434, 2596864, 5956560, 7829504, 16232208, 19574784, 37960640, 43102208, 78860184, 85909504, 150986202, 157845504, 269942480, 274096128, 454718160, 452882432, 734667440, 714375168

Offset

0,3

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 157.

E. C. Pervin, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Andy Huchala, Table of n, a(n) for n = 0..20000

Prog

(Magma)
L := Lattice("Lambda", 13);
B := Basis(ThetaSeriesModularFormSpace(L), 20);
Coefficients(B[1]+906*B[3]+6144*B[4]+38424*B[5]+102400*B[6]+359344*B[7]); // Andy Huchala, Jun 16 2021

Crossrefs

Sequence in context: A181257 A235242 A270446 * A174862 A350852 A195987

Adjacent sequences: A006914 A006915 A006916 * A006918 A006919 A006920

Keyword

nonn

Author

N. J. A. Sloane

Status

approved