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A070066
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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.)
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2
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3, 9, 16, 16, 32, 48, 24, 6, 55, 72, 72, 100, 72, 112, 72, 108, 144, 162, 36, 192, 72, 100, 216, 72, 295, 343, 351, 359, 72, 368, 423, 343, 216, 300, 343, 648, 800, 783, 625, 833, 400, 450, 648, 972, 496, 576, 1024, 864, 675, 972, 1215, 242, 72, 500, 1176
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| The first 5 solutions are (x,y,z) = (10,3,7), (1242,9,117), (1024,16,128), (5632,16,320) and (20480,32,768).
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MATHEMATICA
| 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}]]]]
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CROSSREFS
| x-values are in A070065, z-values are in A070067.
Sequence in context: A134137 A174179 A076362 * A184529 A020967 A109340
Adjacent sequences: A070063 A070064 A070065 * A070067 A070068 A070069
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KEYWORD
| nonn
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AUTHOR
| Dean Hickerson (dean.hickerson(AT)yahoo.com) and Dan Asimov(asimov(AT)msri.org), Apr 18 2002
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