Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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