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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
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.
Sequence in context: A361168 A101447 A119322 * A186286 A023821 A262332
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.)