A230743 - OEIS

A230743

Values of x such that x^2 + y^2 = 41^n with x and y coprime and 0 < x < y.

4, 9, 115, 720, 2476, 42471, 4765, 1788961, 3780956, 51872200, 310486445, 1142532559, 18483128564, 4205436520, 799862636324, 1584162310079, 23384002313285, 133802323596440, 526151093402156, 8041209044472401, 2783579583540395, 357525366658772391

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The corresponding y-values are in A230744.

LINKS

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

EXAMPLE

a(3)=115 because 115^2+236^2=68921=41^3.

MATHEMATICA

Table[Select[PowersRepresentations[41^n, 2, 2], CoprimeQ@@#&][[1, 1]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)

CROSSREFS

Cf. A009985, A230744, A188948, A230622, A230644, A230710, A230712.

Sequence in context: A042649 A324024 A042381 * A367075 A033294 A156317

Adjacent sequences: A230740 A230741 A230742 * A230744 A230745 A230746

KEYWORD

nonn

AUTHOR

Colin Barker, Oct 29 2013

STATUS

approved