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URL: https://oeis.org/A006911

⇱ A006911 - OEIS

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A006911
Theta series of laminated lattice LAMBDA_11^{max}.
2
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
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: A088893 A382896 A043447 * A222877 A204380 A185683
KEYWORD
nonn
STATUS
approved