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A006911 Theta series of laminated lattice LAMBDA_11^{max}.
(Formerly M5453)
2

%I M5453 #17 Jun 25 2021 04:07:31

%S 1,0,438,1536,9372,15360,57896,70656,211638,215040,582648,529920,

%T 1316472,1139712,2619264,2159616,4815516,3766272,8165550,6259200,

%U 13070328,9799680,20203512,14693376,29739560,21553152,42530424,30369792,59881584,41671680,81197184

%N Theta series of laminated lattice LAMBDA_11^{max}.

%D 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.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag. See Chap. 6.

%D E. C. Pervin, personal communication.

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

%H Andy Huchala, <a href="/A006911/b006911.txt">Table of n, a(n) for n = 0..20000</a>

%H J. H. Conway and N. J. A. Sloane, <a href="/A005135/a005135.png">The "shower" showing containments among the laminated lattices up to dimension 48</a> (Fig 3 from the Annals paper, also Fig. 6.1 in the Sphere packing book).

%o (Magma)

%o L := Lattice("Lambda", 11);

%o B := Basis(ThetaSeriesModularFormSpace(L),20);

%o Coefficients(B[1] + 438*B[3] + 1536*B[4] + 9372*B[5] + 15360*B[6]); // _Andy Huchala_, Jun 16 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)