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A230841
Values of x such that x^2 + y^2 = 61^n with x and y coprime and 0 < x < y.
3
5, 11, 234, 1320, 9475, 117469, 266286, 9184560, 3302155, 520632300, 1387108806, 23922442439, 154165737965, 933420304380, 13338456688674, 22995028210081, 1026964091673115, 713853567388260, 54078566783400895, 171226928056302601, 2435077776719657394
OFFSET
1,1
COMMENTS
The corresponding y-values are in A230842.
LINKS
EXAMPLE
a(3)=234 because 234^2+415^2=226981=61^3.
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 *)
KEYWORD
nonn
AUTHOR
Colin Barker, Oct 31 2013
EXTENSIONS
a(10) and a(20) corrected by Zak Seidov, Nov 02 2013
STATUS
approved