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Values of y such that x^2 + y^2 = 61^n with x and y coprime and 0 < x < y.
2

%I #9 Nov 04 2013 13:48:04

%S 6,60,415,3479,27474,194220,1752665,10361041,108089046,665045051,

%T 6449019055,45629658360,371682946434,3000926368429,20605153668425,

%U 190323205453920,1089586196530086,11672337637546091,73603293662217846,692487869011494600,5011061854350480605

%N Values of y such that x^2 + y^2 = 61^n with x and y coprime and 0 < x < y.

%C The corresponding x-values are in A230841.

%e a(3)=415 because 234^2+415^2=226981=61^3.

%t Table[Select[PowersRepresentations[61^n, 2, 2], CoprimeQ[#[[1]], #[[2]]] &][[1, 2]], {n, 21}] (* _T. D. Noe_, Nov 04 2013 *)

%Y Cf. A230841.

%Y Cf. A188949, A230623, A230645, A230711, A230713, A230744, A230760.

%K nonn

%O 1,1

%A _Colin Barker_, Oct 31 2013