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Squared distances that can arise in any Barlow packing of spheres of diameter sqrt(3) (the scale being the simplest one that makes this an integer sequence).
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%I #6 Nov 04 2013 11:58:54

%S 0,3,6,8,9,11,12,15,17,18,19,20,21,22,24,25,27,29,30,31,32,33,34,35,

%T 36,37,39,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,

%U 65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86

%N Squared distances that can arise in any Barlow packing of spheres of diameter sqrt(3) (the scale being the simplest one that makes this an integer sequence).

%F The set of all values of N = xx + xy + yy + 2zz for which x, y, z are integers subject to the proviso that N must be a multiple of 3 if |z| < 2.

%Y Complement of A036559.

%K nonn

%O 0,2

%A _J. H. Conway_, _N. J. A. Sloane_.