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A029672 Theta series of quadratic form with Gram matrix [ 3, 1, 1; 1, 2, 1; 1, 1, 3 ]. 1

%I #14 Jul 17 2014 21:53:47

%S 1,0,2,8,2,0,6,8,6,0,4,8,12,0,4,24,2,0,14,8,0,0,8,16,18,0,4,32,12,0,

%T 16,8,6,0,4,16,14,0,8,32,12,0,24,24,12,0,8,16,12,0,10,48,0,0,18,16,12,

%U 0,12,8,36,0,12,56,2,0,16,24,12,0,8,16,42,0,12,40,12,0,36,24,0,0

%N Theta series of quadratic form with Gram matrix [ 3, 1, 1; 1, 2, 1; 1, 1, 3 ].

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

%H John Cannon, <a href="/A029672/b029672.txt">Table of n, a(n) for n = 0..10000</a>

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

%e 1 + 2*q^2 + 8*q^3 + 2*q^4 + 6*q^6 + 8*q^7 + 6*q^8 + 4*q^10 + 8*q^11 + 12*q^12 + ...

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

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Last modified May 8 19:26 EDT 2024. Contains 372341 sequences. (Running on oeis4.)