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A070067 Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z. 3
7, 117, 128, 320, 768, 832, 1120, 1153, 1226, 1296, 1377, 2500, 2592, 2816, 3168, 3888, 5760, 6561, 6948, 7168, 7776, 10625, 12960, 13968, 16514, 19208, 19926, 20240, 23652, 24384, 29158, 33614, 42768, 60100, 67228, 69984, 70400, 71199 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

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).

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}]]]]

CROSSREFS

x-values are in A070065, y-values are in A070066.

Sequence in context: A320083 A329543 A180203 * A027502 A050285 A096760

Adjacent sequences:  A070064 A070065 A070066 * A070068 A070069 A070070

KEYWORD

nonn

AUTHOR

Dean Hickerson and Dan Asimov (asimov(AT)msri.org), Apr 18 2002

STATUS

approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)