A230622 Values of x such that x^2 + y^2 = 17^n with x and y coprime and 0 < x < y.

1, 8, 47, 161, 404, 495, 2908, 31679, 203996, 905768, 2529647, 4839120, 4291039, 116593352, 859799153, 4896306240, 14978251196, 35359140465, 28242853388, 375162560801, 3481428994004, 21473668418415, 85367854683953, 228866364286560

Offset

1,2

Comments

The corresponding y-values are in A230623.

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).

Example

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

Mathematica

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

Crossrefs

Cf. A001026, A188948, A230623.

Sequence in context: A378419 A085299 A160640 * A026983 A296331 A081279

Adjacent sequences: A230619 A230620 A230621 * A230623 A230624 A230625

Keyword

nonn

Author

Colin Barker, Oct 26 2013

Status

approved