id:A128006 - OEIS Search Results

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

+0
6

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, 13, 41, 73, 65, 85, 5, 101, 61, 41, 26, 37, 85, 97, 65, 109, 61, 89, 325, 17, 125, 29, 53, 65, 6, 145, 85, 61, 37, 137, 25, 51, 13, 85, 205, 73, 173, 533, 20, 34, 89, 7, 197, 169, 113, 85 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`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.`
	CROSSREFS	`See A128007 for denominators. Cf. A128008, A128009, A128010, A128011.` `Sequence in context: A153839 A023580 A021648 this_sequence A157703 A158349 A079384` `Adjacent sequences: A128003 A128004 A128005 this_sequence A128007 A128008 A128009`
	KEYWORD	`frac,nonn`
	AUTHOR	`Heinrich Ludwig (lud.wig(AT)t-online.de), Feb 11 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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