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A029673 Theta series of quadratic form with Gram matrix [ 2, 0, 1; 0, 4, 2; 1, 2, 4 ]. 1

%I #15 Jul 17 2014 21:54:03

%S 1,2,10,4,10,2,16,4,26,10,0,12,20,4,36,0,26,12,30,4,10,8,32,20,32,2,

%T 40,16,20,20,12,8,58,8,20,0,50,12,64,16,0,16,40,12,60,6,36,20,52,14,

%U 10,16,20,28,64,4,84,16,40,20,0,12,72,20,58,0,40,12,60,16,16,32,78,12,80,4,20

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

%C Alternatively, this is the quadratic form with Gram matrix [ 2, 1, 1; 1, 4, 2; 1, 2, 4 ].

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

%H John Cannon, <a href="/A029673/b029673.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/digonalIe.html">Home page for this lattice</a>

%e 1 + 2*q^2 + 10*q^4 + 4*q^6 + 10*q^8 + 2*q^10 + 16*q^12 + 4*q^14 + 26*q^16 + ...

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified May 10 09:34 EDT 2024. Contains 372377 sequences. (Running on oeis4.)