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A029596 Numbers represented by quadratic form with Gram matrix [ 4, 2, 2; 2, 4, 1; 2, 1, 6 ], divided by 2. 0

%I

%S 0,2,3,4,6,7,8,9,10,12,13,14,15,16,18,21,22,23,24,26,27,28,29,31,32,

%T 33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,

%U 59,60,61,62,63,64,66,67,68,69,71,72,73,74,75,76,77,78,81,82,83,84,86,87

%N Numbers represented by quadratic form with Gram matrix [ 4, 2, 2; 2, 4, 1; 2, 1, 6 ], divided by 2.

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

%p L := [seq(0,i=1..1)]: for x from -20 to 20 do for y from -20 to 20 do for z from -20 to 20 do if member(4*x^2+4*x*y+4*x*z+4*y^2+2*y*z+6*z^2, L)=false then L := [op(L), 4*x^2 +4*x*y+4*x*z+4*y^2+2*y*z+6*z^2] fi: od: od: od: L2 := sort(L): for i from 1 to 100 do printf(`%d, `,L2[i]/2) od:

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_.

%E More terms from _James A. Sellers_, May 31 2000

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Last modified January 25 19:00 EST 2022. Contains 350572 sequences. (Running on oeis4.)