login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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

%I #14 Jul 17 2014 12:28:29

%S 1,0,2,6,4,4,0,4,10,2,2,12,10,0,6,8,8,6,6,8,12,4,4,16,8,6,0,22,12,4,6,

%T 4,26,4,0,26,18,4,8,0,6,4,10,22,28,8,4,20,22,6,10,22,0,12,4,8,18,8,8,

%U 32,24,4,8,20,20,2,4,28,26,4,4,20,30,4,10,24,16,12,2,8,36,12,8

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

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

%H John Cannon, <a href="/A029670/b029670.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/monoclinicC.html">Home page for this lattice</a>

%e 1 + 2*q^2 + 6*q^3 + 4*q^4 + 4*q^5 + 4*q^7 + 10*q^8 + 2*q^9 + 2*q^10 + 12*q^11 + ...

%K nonn

%O 0,3

%A _N. J. A. Sloane_.