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A006914 Theta series of laminated lattice LAMBDA_12^{max}.
(Formerly M5468)
1

%I M5468 #10 Jun 19 2021 13:19:56

%S 1,0,648,3072,20232,36864,158112,202752,646920,712704,2025648,1926144,

%T 4936608,4460544,10891584,9160704,20700936,17031168,38421864,29703168,

%U 63245232,49201152,104361696,77285376,157848480,117227520,240598512,172849152,340059456

%N Theta series of laminated lattice LAMBDA_12^{max}.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 157.

%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="/A006914/b006914.txt">Table of n, a(n) for n = 0..20000</a>

%o (Sage)

%o M = ModularForms(Gamma0(4),6,prec=20)

%o bases = M.integral_basis()

%o f = sum(x*y for (x,y) in zip(bases,[1, 0, 648, 3072]))

%o f.coefficients(range(20)) # _Andy Huchala_, Jun 19 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Andy Huchala_, Jun 19 2021

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Last modified June 8 20:17 EDT 2024. Contains 373227 sequences. (Running on oeis4.)