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A014498
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Varying radii of inscribed circles within primitive Pythagorean triples as a function of increasing values of hypotenuse.
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9
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1, 2, 3, 3, 6, 5, 4, 10, 5, 12, 7, 15, 14, 6, 15, 20, 9, 21, 7, 18, 28, 11, 8, 21, 30, 35, 22, 9, 36, 24, 35, 13, 42, 33, 45, 10, 26, 40, 44, 15, 39, 11, 30, 45, 55, 56, 30, 63, 52, 12, 33, 66, 17, 63, 65, 72, 34, 13, 77, 60, 55, 70, 78, 19, 51, 14, 88, 39, 60, 77, 38, 91, 68, 90
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Eric Weisstein's World of Mathematics, Pythagorean Triple.
Saltire Software, Pythagorean Triples
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FORMULA
| Arrange all primitive Pythagorean triples a, b, c by value of hypotenuse c, then by long leg b; for n-th value of c, sequence gives radius of largest inscribed circle, (a+b-c)/2.
a(n) = (A046086(n) + A046087(n) - A020882(n))/2 = A087459(n)/2.
a(n) = sqrt{(A118961(n)*A118962(n)/2}. - Lekraj Beedassy (blekraj(AT)yahoo.com), May 07 2006
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CROSSREFS
| For ordered values of (a+b-c)/2 see A020888.
Cf. A046086, A046087, A020882, A087459.
Sequence in context: A057047 A101447 A119322 * A186286 A023821 A075258
Adjacent sequences: A014495 A014496 A014497 * A014499 A014500 A014501
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KEYWORD
| nonn
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AUTHOR
| RALPH PETERSON (ralphp(AT)LIBRARY.NRL.NAVY.MIL)
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EXTENSIONS
| More terms from Asher Auel (asher.auel(AT)reed.edu) May 05 2000
Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 9 2004
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