id:A128010 - OEIS Search Results

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

+0
6

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 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`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.`
	CROSSREFS	`See A128011 for denominators. Cf. A128006, A128007, A128008, A128009.` `Sequence in context: A073316 A092516 A131925 this_sequence A114740 A128008 A144386` `Adjacent sequences: A128007 A128008 A128009 this_sequence A128011 A128012 A128013`
	KEYWORD	`frac,nonn`
	AUTHOR	`Heinrich Ludwig (lud.wig(AT)t-online.de), Feb 18 2007`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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