A192494 Denominators of squared radii of circumcircles of non-degenerate triangles with integer vertex coordinates.

2, 1, 4, 18, 16, 1, 2, 9, 8, 4, 98, 50, 18, 1, 16, 4, 98, 50, 2, 64, 242, 36, 18, 1, 64, 16, 9, 196, 50, 4, 338, 98, 2, 49, 64, 242, 25, 162, 18, 9, 4, 338, 578, 256, 98, 50, 324, 722, 242, 16, 1, 18, 8, 100, 2, 98, 98, 49, 242, 25, 722, 1058, 1, 36, 32, 16, 121, 4, 578, 338, 18, 256, 98, 9, 144, 484, 50, 64, 50, 242, 1

Offset: 1

Author

Hugo Pfoertner, Jul 10 2011

Keywords

• nonn
• frac

Examples

			The smallest triangle of lattice points {(0,0),(1,0),(0,1)} has circumradius R=sqrt(2)/2, i.e., R^2=1/2. Therefore A192493(1)=1, a(1)=2.
		

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..9089, covering range R^2 <= 100.

Crossrefs

Cf. A192493 (corresponding numerators).

Cf. A346993, A346994, A346995.