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A020884 Ordered short legs of primitive Pythagorean triangles. 29
3, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 20, 21, 23, 24, 25, 27, 28, 28, 29, 31, 32, 33, 33, 35, 36, 36, 37, 39, 39, 40, 41, 43, 44, 44, 45, 47, 48, 48, 49, 51, 51, 52, 52, 53, 55, 56, 57, 57, 59, 60, 60, 60, 61, 63, 64, 65, 65, 67, 68, 68, 69, 69, 71, 72, 73, 75, 75, 76, 76, 77 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Consider primitive Pythagorean triangles (A^2 + B^2 = C^2, (A, B) = 1, A <= B); sequence gives values of A, sorted.

Union of A081874 and A081925. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 28 2006

LINKS

Ron Knott, Pythagorean Triples and Online Calculators

P. Alfeld, Pythagorean Triples

N. Exner, Generating Pythagorean Triples(Applet)

W. A. Kehowski, Pythagorean Triples

MATHEMATICA

lst={}; amx=99; Do[For[b=a+1, b<(a^2/2), c=(a^2+b^2)^(1/2); If[c==IntegerPart[c]&&GCD[a, b, c]==1, AppendTo[lst, a]]; b=b+2], {a, 3, amx}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 07 2008]

CROSSREFS

Cf. A009004, A020882-A020886. Different from A024352.

Sequence in context: A025050 A196115 A025051 * A183855 A024352 A134407

Adjacent sequences:  A020881 A020882 A020883 * A020885 A020886 A020887

KEYWORD

nonn,easy,nice

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

EXTENSIONS

Extended and corrected by David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 17 11:46 EST 2012. Contains 206011 sequences.