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%I #6 Jan 07 2020 09:11:42
%S 63,495,675,768,1008,1071,1280,1575,2304,2499,2835,2880,2975,3135,
%T 3456,3591,4095,4275,4455,4608,4928,5103,5760,5775,6615,6656,6831,
%U 6975,7040,7488,7875,7920,8064,8415,8448,8463,8775,8855,8960,9135,9216,9600,9984,10535
%N 16 * squared area of triangles with integer sides i <= j <= k, such that more than one ordered triple of sides produces the same area.
%e a(1) = 63: triangles (1,4,4) and (2,2,3) both have squared area 3.9375 = 63/16. All smaller squared area values A(i,j,k) correspond to unique triples of side lengths: A(1,1,1) = 0.1875 = 3/16, A(1,2,2) = 0.9375 = 15/16, A(1,3,3) = 2.1875 = 35/16, A(2,2,2) = 3 = 48/16.
%e a(2) = 495: A(2,6,7) = A(3,4,4) = 30.9375 = 495/16.
%e a(8) = 1575: A(2,11,12) = A(3,8,10) = A(4,5,6) = 98.4375 = 1575/16.
%e a(23) = 5760: A(2,19,19) = A(3,13,14) = A(6,7,7) = A(6,7,11) = 360 = 5760/16.
%Y Subset of A317182.
%K nonn
%O 1,1
%A _Hugo Pfoertner_, Jan 06 2020
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