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Squared distances that cannot arise in any Barlow packing of spheres of diameter sqrt(3) (the scale being the simplest one that makes this an integer sequence).
1

%I #7 Nov 04 2013 11:58:54

%S 1,2,4,5,7,10,13,14,16,23,26,28,38,40,42,52,58,64,74,90,104,106,112,

%T 122,138,154,160,168,170,186,202,208,218,230,232,234,250,256,266,282,

%U 296,298,314,330,346,360,362,378,394,410,416,424,426,442,448

%N Squared distances that cannot arise in any Barlow packing of spheres of diameter sqrt(3) (the scale being the simplest one that makes this an integer sequence).

%F Conjectured to consist of 4^n times 1 or 7 or 13 or 16k+10 together with 2, 5, 14, 23, 38, 230.

%Y Complement of A036558.

%K nonn

%O 1,2

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