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Search: id:A070066
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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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+0
3
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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
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OFFSET
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1,1
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EXAMPLE
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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
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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
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x-values are in A070065, z-values are in A070067.
Sequence in context: A015664 A134137 A076362 this_sequence A020967 A109340 A024385
Adjacent sequences: A070063 A070064 A070065 this_sequence A070067 A070068 A070069
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KEYWORD
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nonn
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AUTHOR
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Dean Hickerson (dean.hickerson(AT)yahoo.com) and Dan Asimov(asimov(AT)msri.org), Apr 18 2002
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