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A020883 Ordered long legs of primitive Pythagorean triangles. 38

%I

%S 4,12,15,21,24,35,40,45,55,56,60,63,72,77,80,84,91,99,105,112,117,120,

%T 132,140,143,144,153,156,165,168,171,176,180,187,195,208,209,220,221,

%U 224,231,240,247,252,253,255,260,264,272,273,275,285,288,299,304,308,312,323

%N Ordered long legs of primitive Pythagorean triangles.

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

%C Any term in this sequence is given by f(m,n) = 2*m*n or g(m,n) = m^2 - n^2 where m and n are any two positive integers, m > 1, n < m, the greatest common divisor of m and n is 1, m and n are not both odd; e.g., f(m,n) = f(2,1) = 2*2*1 = 4. - _Agola Kisira Odero_, Apr 29 2016

%C All terms are composite. - _Thomas Ordowski_, Mar 12 2017

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">Pythagorean Triples and Online Calculators</a>

%Y Cf. A020882, A020884, A020885, A020886, A024354.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E Extended and corrected by _David W. Wilson_

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Last modified January 16 19:49 EST 2019. Contains 319206 sequences. (Running on oeis4.)