A128010 Numerators of rational-valued radii of circles given by 3 distinct integer points in the 4-dimensional Euclidean space.

1, 5, 3, 5, 7, 11, 2, 17, 13, 9, 7, 33, 19, 5, 13, 21, 27, 11, 14, 17, 29, 3, 37, 31, 25, 19, 13, 33, 10, 27, 17, 41, 7, 25, 18, 29, 51, 11, 37, 26, 15, 53, 19, 99, 65, 23, 27, 39, 47, 55, 91, 4, 65, 57, 49, 41, 33, 29, 25, 67, 21, 59, 17, 30, 43, 69, 13, 61, 35, 22, 53, 31, 9

Offset

1,2

Comments

A triangle in the 4-dimensional Euclidean space defines a circumcircle. There exist only certain rational-valued circumradii if the vertices of the triangle have integer coordinates. They are listed by the pair of sequences A128010/A128011 in increasing order.

Links

Table of n, a(n) for n=1..73.

Crossrefs

See A128011 for denominators. Cf. A128006, A128007, A128008, A128009.

Sequence in context: A269893 A336055 A131925 * A185046 A114740 A330523

Adjacent sequences: A128007 A128008 A128009 * A128011 A128012 A128013

Keyword

frac,nonn

Author

Heinrich Ludwig, Feb 18 2007

Status

approved