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A128006 Numerators of rational-valued radii of circles given by 3 distinct integer points in the euclidean plane. 8

%I

%S 1,5,5,2,17,13,5,13,29,3,37,25,13,10,17,25,15,53,65,4,65,41,29,25,17,

%T 13,41,73,65,85,5,101,61,41,26,37,85,97,65,109,61,89,325,17,125,29,53,

%U 65,6,145,85,61,37,137,25,51,13,85,205,73,173,533,20,34,89,7,197,169,113,85

%N Numerators of rational-valued radii of circles given by 3 distinct integer points in the euclidean plane.

%C A triangle in the Euclidean plane defines a circumcircle. There exist only certain rational-valued circumradii if the vertices of the triangle have integer coordinates. They are rendered by the pair of sequences A128006/A128007 in increasing order.

%Y See A128007 for denominators.

%Y Cf. A128008, A128009, A128010, A128011, A192493, A192494.

%K frac,nonn

%O 1,2

%A _Heinrich Ludwig_, Feb 11 2007

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Last modified June 19 07:26 EDT 2021. Contains 345126 sequences. (Running on oeis4.)