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A230623
Values of y such that x^2 + y^2 = 17^n with x and y coprime and 0 < x < y.
9
4, 15, 52, 240, 1121, 4888, 20047, 77280, 277441, 1093425, 5279468, 23647519, 99429196, 393425745, 1457109628, 4968639359, 24553864319, 113193708472, 488133974353, 1980778750800, 7547952442399, 26710380775592, 112605054449252
OFFSET
1,1
COMMENTS
The corresponding x-values are in A230622.
LINKS
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)=15 because 8^2 + 15^2 = 289 = 17^2.
MATHEMATICA
Table[Select[PowersRepresentations[17^n, 2, 2], CoprimeQ@@#&][[1, 2]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Colin Barker, Oct 26 2013
STATUS
approved