A006911 Theta series of laminated lattice LAMBDA_11^{max}.

1, 0, 438, 1536, 9372, 15360, 57896, 70656, 211638, 215040, 582648, 529920, 1316472, 1139712, 2619264, 2159616, 4815516, 3766272, 8165550, 6259200, 13070328, 9799680, 20203512, 14693376, 29739560, 21553152, 42530424, 30369792, 59881584, 41671680, 81197184

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• J. H. Conway and N. J. A. Sloane, Laminated lattices, Annals of Math., 116 (1982), pp. 593-620. A revised version appears as Chapter 6 of ``Sphere Packings, Lattices and Groups'' by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag. See Chap. 6.
• 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
• J. H. Conway and N. J. A. Sloane, The "shower" showing containments among the laminated lattices up to dimension 48 (Fig 3 from the Annals paper, also Fig. 6.1 in the Sphere packing book).

Programs

Magma

L := Lattice("Lambda", 11);
B := Basis(ThetaSeriesModularFormSpace(L),20);
Coefficients(B[1] + 438*B[3] + 1536*B[4] + 9372*B[5] + 15360*B[6]); // Andy Huchala, Jun 16 2021