A070067 Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.

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

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