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%I #10 Jun 24 2014 01:08:24
%S 3,9,16,16,32,48,24,6,55,72,72,100,72,112,72,108,144,162,36,192,72,
%T 100,216,72,295,343,351,359,72,368,423,343,216,300,343,648,800,783,
%U 625,833,400,450,648,972,496,576,1024,864,675,972,1215,242,72,500,1176
%N Values of y in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z. (If a z-value occurs twice, list solutions in increasing order of y.)
%e The first 5 solutions are (x,y,z) = (10,3,7), (1242,9,117), (1024,16,128), (5632,16,320) and (20480,32,768).
%t For[z=1, True, z++, z3=z^3; For[y=1, (d=z3-y^5)>0, y++, If[IntegerQ[x=Sqrt[d]], Print[{x, y, z}]]]]
%Y x-values are in A070065, z-values are in A070067.
%K nonn
%O 1,1
%A _Dean Hickerson_ and Dan Asimov (asimov(AT)msri.org), Apr 18 2002
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