cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A094194 #22 May 30 2025 01:11:33
%S A094194 5,13,17,25,29,41,37,61,53,65,85,65,73,89,113,85,97,145,101,109,149,
%T A094194 181,125,137,157,185,221,145,169,193,265,173,185,205,233,269,313,197,
%U A094194 205,221,277,317,365,229,241,289,421,257,265,281,305,337,377,425,481,293
%N A094194 Hypotenuses x^2 + y^2 of primitive Pythagorean triangles, sorted on values x of the generator pair (x, y), x>y.
%C A094194 For ordered hypotenuses of primitive Pythagorean triangles see A020882.
%C A094194 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]
%D A094194 Alfred S. Posamentier, Math Charmers, Tantalizing Tidbits for the Mind, Prometheus Books, NY, 2003, page 145.
%H A094194 Ray Chandler, <a href="/A094194/b094194.txt">Table of n, a(n) for n = 1..10000</a>
%H A094194 F. Richman, <a href="http://math.fau.edu/Richman/mla/pythag3s.htm">Pythagorean Triples</a>
%Y A094194 Cf. A094192, A094193, A120097, A120098.
%K A094194 nonn
%O A094194 1,1
%A A094194 _Lekraj Beedassy_, May 25 2004
%E A094194 Inserted a sqrt(.) operation in the definition - _R. J. Mathar_, Apr 12 2010
%E A094194 Deleted incorrect sqrt in definition (based on author's initial comment) - _Aaron Kastel_, Oct 30 2012