A006911 Theta series of laminated lattice LAMBDA_11^{max}. (Formerly M5453)

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

0,3

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).

Prog

(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

Crossrefs

Sequence in context: A237939 A088893 A043447 * A222877 A204380 A185683

Adjacent sequences: A006908 A006909 A006910 * A006912 A006913 A006914

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved