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

5, 13, 17, 25, 29, 41, 37, 61, 53, 65, 85, 65, 73, 89, 113, 85, 97, 145, 101, 109, 149, 181, 125, 137, 157, 185, 221, 145, 169, 193, 265, 173, 185, 205, 233, 269, 313, 197, 205, 221, 277, 317, 365, 229, 241, 289, 421, 257, 265, 281, 305, 337, 377, 425, 481, 293

Offset: 1

Author

Lekraj Beedassy, May 25 2004

Keywords

• nonn

Comments

For ordered hypotenuses of primitive Pythagorean triangles see A020882.

The hypotenuse Z of the primitive Pythagorean triple (X, Y, Z) with Xy (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]

References

• Alfred S. Posamentier, Math Charmers, Tantalizing Tidbits for the Mind, Prometheus Books, NY, 2003, page 145.

Links

• Ray Chandler, Table of n, a(n) for n = 1..10000
• F. Richman, Pythagorean Triples

Crossrefs

Cf. A094192, A094193, A120097, A120098.

Extensions

Inserted a sqrt(.) operation in the definition - R. J. Mathar, Apr 12 2010

Deleted incorrect sqrt in definition (based on author's initial comment) - Aaron Kastel, Oct 30 2012