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A014452 Theta series of quadratic form with Gram matrix [ 1, 0, 0; 0, 2, 1; 0, 1, 2 ]. 3

%I #14 Jul 20 2014 09:38:29

%S 1,2,6,12,2,0,18,12,6,14,12,12,12,0,12,36,2,12,42,12,0,0,24,24,18,14,

%T 12,48,12,0,48,12,6,36,12,24,14,0,24,48,12,12,72,36,12,0,24,24,12,14,

%U 30,72,0,0,54,24,12,48,36,12,36,0,36,84,2,24,48,36,12,0,24,24,42,24,36,60,12

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

%C This is the hexagonal P lattice (the classical holotype) of dimension 3.

%H John Cannon, <a href="/A014452/b014452.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/hexagonalP.html">Home page for this lattice</a>

%e 1 + 2*q + 6*q^2 + 12*q^3 + 2*q^4 + 18*q^6 + 12*q^7 + 6*q^8 + 14*q^9 + 12*q^10 + ...

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)