A230623 Values of y such that x^2 + y^2 = 17^n with x and y coprime and 0 < x < y.

4, 15, 52, 240, 1121, 4888, 20047, 77280, 277441, 1093425, 5279468, 23647519, 99429196, 393425745, 1457109628, 4968639359, 24553864319, 113193708472, 488133974353, 1980778750800, 7547952442399, 26710380775592, 112605054449252

Offset: 1

Author

Colin Barker, Oct 26 2013

Keywords

• nonn

Comments

The corresponding x-values are in A230622.

Examples

			a(2)=15 because 8^2 + 15^2 = 289 = 17^2.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200
• Chris Busenhart, Lorenz Halbeisen, Norbert Hungerbühler, Oliver Riesen, On primitive solutions of the Diophantine equation x^2+ y^2= M, Eidgenössische Technische Hochschule (ETH Zürich, Switzerland, 2020).

Crossrefs

Cf. A001026, A188949, A230622.

Programs

Mathematica

Table[Select[PowersRepresentations[17^n, 2, 2], CoprimeQ@@#&][[1, 2]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)