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 A014498 Varying radii of inscribed circles within primitive Pythagorean triples as a function of increasing values of hypotenuse. 10
 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; text; internal format)
 OFFSET 1,2 LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Pythagorean Triple. Saltire Software, Pythagorean Triples 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, May 07 2006 CROSSREFS For ordered values of (a+b-c)/2 see A020888. Cf. A046086, A046087, A020882, A087459. Sequence in context: A361168 A101447 A119322 * A186286 A023821 A262332 Adjacent sequences: A014495 A014496 A014497 * A014499 A014500 A014501 KEYWORD nonn AUTHOR RALPH PETERSON (ralphp(AT)LIBRARY.NRL.NAVY.MIL) EXTENSIONS More terms from Asher Auel May 05 2000 Extended by Ray Chandler, Mar 09 2004 STATUS approved

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Last modified May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)