A192494 - OEIS

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

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OFFSET

1,1

LINKS

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

EXAMPLE

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.

CROSSREFS

Cf. A192493 (corresponding numerators).

Cf. A346993, A346994, A346995.

Sequence in context: A025228 A267377 A132945 * A013156 A012925 A012930

Adjacent sequences: A192491 A192492 A192493 * A192495 A192496 A192497

KEYWORD

nonn,frac

AUTHOR

Hugo Pfoertner, Jul 10 2011

STATUS

approved