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A094194 Hypotenuses x^2 + y^2 of primitive Pythagorean triangles, sorted on values x of the generator pair (x, y), x>y. 6

%I #19 Feb 14 2020 11:13:10

%S 5,13,17,25,29,41,37,61,53,65,85,65,73,89,113,85,97,145,101,109,149,

%T 181,125,137,157,185,221,145,169,193,265,173,185,205,233,269,313,197,

%U 205,221,277,317,365,229,241,289,421,257,265,281,305,337,377,425,481,293

%N Hypotenuses x^2 + y^2 of primitive Pythagorean triangles, sorted on values x of the generator pair (x, y), x>y.

%C For ordered hypotenuses of primitive Pythagorean triangles see A020882.

%C The hypotenuse Z of the primitive Pythagorean triple (X, Y, Z) with X<Y<Z is obtained from the generator pairs (x, y), x>y (x and y coprime and not both odd) using the relation Z = x^2 + y^2. The even leg is 2*x*y and the odd leg is x^2 - y^2. [From _Lekraj Beedassy_, May 06 2010]

%H Ray Chandler, <a href="/A094194/b094194.txt">Table of n, a(n) for n = 1..10000</a>

%H F. Richman, <a href="http://math.fau.edu/Richman/mla/pythag3s.htm">Pythagorean Triples</a>

%Y Cf. A094192, A094193, A120097, A120098.

%K nonn

%O 1,1

%A _Lekraj Beedassy_, May 25 2004

%E Inserted a sqrt(.) operation in the definition - _R. J. Mathar_, Apr 12 2010

%E Deleted incorrect sqrt in definition (based on author's initial comment) - _Aaron Kastel_, Oct 30 2012

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)