A331011 16 * squared area of triangles with integer sides i <= j <= k, such that more than one ordered triple of sides produces the same area.

63, 495, 675, 768, 1008, 1071, 1280, 1575, 2304, 2499, 2835, 2880, 2975, 3135, 3456, 3591, 4095, 4275, 4455, 4608, 4928, 5103, 5760, 5775, 6615, 6656, 6831, 6975, 7040, 7488, 7875, 7920, 8064, 8415, 8448, 8463, 8775, 8855, 8960, 9135, 9216, 9600, 9984, 10535

Offset: 1

Author

Hugo Pfoertner, Jan 06 2020

Keywords

• nonn

Examples

			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.
a(2) = 495: A(2,6,7) = A(3,4,4) = 30.9375 = 495/16.
a(8) = 1575: A(2,11,12) = A(3,8,10) = A(4,5,6) = 98.4375 = 1575/16.
a(23) = 5760: A(2,19,19) = A(3,13,14) = A(6,7,7) = A(6,7,11) = 360 = 5760/16.
		

Crossrefs

Subset of A317182.

Nonunique terms of A135622 or A316853.

Cf. A331012.