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A070065
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Values of x 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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3
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10, 1242, 1024, 5632, 20480, 17920, 37376, 39151, 36599, 15552, 26001, 75000, 124416, 68608, 172800, 209952, 359424, 413343, 579096, 327680, 684288, 1090625, 1306368, 1650240, 1506463, 1529437, 1607445, 1525899, 3637224, 2783744
(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
| y-values are in A070066, z-values are in A070067.
Sequence in context: A027879 A194497 A015108 * A013367 A013366 A013364
Adjacent sequences: A070062 A070063 A070064 * A070066 A070067 A070068
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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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