id:A128008 - OEIS Search Results

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

+0
6

1, 5, 3, 5, 11, 2, 17, 13, 9, 7, 33, 5, 13, 21, 27, 17, 29, 3, 37, 25, 19, 13, 33, 10, 17, 41, 7, 25, 29, 51, 11, 15, 53, 19, 99, 65, 23, 27, 4, 65, 57, 49, 41, 33, 29, 25, 21, 59, 17, 43, 69, 13, 53, 31, 9, 41, 73, 83, 37, 65, 14, 33, 85, 105, 43, 67, 77, 29, 63, 69, 89, 5 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A triangle in the 3-dimensional euclidean space 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 A128008/A128009 in increasing order.`
	CROSSREFS	`See A128009 for denominators. Cf. A128006, A128007, A128010, A128011.` `Sequence in context: A131925 A128010 A114740 this_sequence A144386 A073685 A019212` `Adjacent sequences: A128005 A128006 A128007 this_sequence A128009 A128010 A128011`
	KEYWORD	`frac,nonn`
	AUTHOR	`Heinrich Ludwig (lud.wig(AT)t-online.de), Feb 14 2007`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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