A006917 Theta series of laminated lattice LAMBDA_13^{max}.

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

Author

N. J. A. Sloane

Keywords

• nonn

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

Programs

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