A230841 Values of x such that x^2 + y^2 = 61^n with x and y coprime and 0 < x < y.

5, 11, 234, 1320, 9475, 117469, 266286, 9184560, 3302155, 520632300, 1387108806, 23922442439, 154165737965, 933420304380, 13338456688674, 22995028210081, 1026964091673115, 713853567388260, 54078566783400895, 171226928056302601, 2435077776719657394

Offset: 1

Author

Colin Barker, Oct 31 2013

Keywords

• nonn

Comments

The corresponding y-values are in A230842.

Examples

			a(3)=234 because 234^2+415^2=226981=61^3.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A230842, A188948, A230622, A230644, A230710, A230712, A230743, A230759.

Programs

Mathematica

Table[Select[PowersRepresentations[61^n, 2, 2], CoprimeQ[#[[1]], #[[2]]] &][[1, 1]], {n, 22}] (* T. D. Noe, Nov 04 2013 *)
Table[Select[PowersRepresentations[61^n, 2, 2], CoprimeQ@@#&][[1, 1]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)

Extensions

a(10) and a(20) corrected by Zak Seidov, Nov 02 2013