A230644 Values of x such that x^2 + y^2 = 29^n with x and y coprime and 0 < x < y.

2, 20, 65, 41, 1475, 15939, 60422, 68880, 1063438, 12631900, 55535695, 86719879, 743336365, 9948240141, 50564635018, 96971881440, 496655601122, 7778740572980, 45669244934945, 101577438080201, 308633722311395, 6032082927439779, 40960925870541542

Offset

1,1

Comments

The corresponding y-values are in A230645.

Links

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

Example

a(3)=65 because 65^2+142^2=24389=29^3.

Mathematica

Table[Select[PowersRepresentations[29^n, 2, 2], CoprimeQ@@#&][[1, 1]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)

Crossrefs

Cf. A009973, A188948, A230622, A230645.

Sequence in context: A001504 A192351 A136905 * A183907 A216609 A226394

Adjacent sequences: A230641 A230642 A230643 * A230645 A230646 A230647

Keyword

nonn

Author

Colin Barker, Oct 26 2013

Extensions

Incorrect formula deleted by Colin Barker, Jan 08 2014

Status

approved