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 A029679 Theta series of quadratic form with Gram matrix [ 2, 0, 0; 0, 2, 1; 0, 1, 4 ]. 1

%I #14 Aug 11 2014 22:45:15

%S 1,4,8,8,8,16,8,2,24,20,8,16,24,16,4,16,16,40,24,8,40,0,16,32,24,28,

%T 24,32,6,32,16,16,56,48,16,0,40,32,40,16,24,56,0,16,48,48,16,48,56,4,

%U 40,16,40,64,32,16,12,64,32,40,48,16,48,10,32,80,16,32,80,32,0,48,72,56,32,40

%N Theta series of quadratic form with Gram matrix [ 2, 0, 0; 0, 2, 1; 0, 1, 4 ].

%C This is the digonal C lattice (the even holotype) of dimension 3.

%H John Cannon, <a href="/A029679/b029679.txt">Table of n, a(n) for n = 0..5000</a>

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/digonalCe.html">Home page for this lattice</a>

%e 1 + 4*q^2 + 8*q^4 + 8*q^6 + 8*q^8 + 16*q^10 + 8*q^12 + 2*q^14 + 24*q^16 + ...

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified May 31 15:39 EDT 2023. Contains 363068 sequences. (Running on oeis4.)