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A230623
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Values of y such that x^2 + y^2 = 17^n with x and y coprime and 0 < x < y.
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9
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4, 15, 52, 240, 1121, 4888, 20047, 77280, 277441, 1093425, 5279468, 23647519, 99429196, 393425745, 1457109628, 4968639359, 24553864319, 113193708472, 488133974353, 1980778750800, 7547952442399, 26710380775592, 112605054449252
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OFFSET
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1,1
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COMMENTS
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The corresponding x-values are in A230622.
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LINKS
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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).
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EXAMPLE
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a(2)=15 because 8^2 + 15^2 = 289 = 17^2.
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MATHEMATICA
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Table[Select[PowersRepresentations[17^n, 2, 2], CoprimeQ@@#&][[1, 2]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)
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CROSSREFS
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Cf. A001026, A188949, A230622.
Sequence in context: A027295 A208722 A057332 * A162978 A171309 A210781
Adjacent sequences: A230620 A230621 A230622 * A230624 A230625 A230626
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KEYWORD
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nonn
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AUTHOR
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Colin Barker, Oct 26 2013
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STATUS
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approved
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