Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A128007
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A128007 Denominators of rational-valued radii of circles given by 3 distinct integer points in the euclidean plane. +0
6
1, 4, 3, 1, 8, 6, 2, 5, 10, 1, 12, 8, 4, 3, 5, 7, 4, 14, 17, 1, 16, 10, 7, 6, 4, 3, 9, 16, 14, 18, 1, 20, 12, 8, 5, 7, 16, 18, 12, 20, 11, 16, 58, 3, 22, 5, 9, 11, 1, 24, 14, 10, 6, 22, 4, 8, 2, 13, 31, 11, 26, 80, 3, 5, 13, 1, 28, 24, 16, 12, 26, 22, 7, 9, 4 (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. The circumradii are rendered by the pair of sequences A128006/A128007 in increasing order.

CROSSREFS

See A128006 for numerators. Cf. A128008, A128009, A128010, A128011.

Sequence in context: A127673 A016698 A038763 this_sequence A098458 A165914 A139621

Adjacent sequences: A128004 A128005 A128006 this_sequence A128008 A128009 A128010

KEYWORD

frac,nonn

AUTHOR

Heinrich Ludwig (lud.wig(AT)t-online.de), Feb 11 2007

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


AT&T Labs Research