|
Search: id:A070067
|
|
|
| A070067 |
|
Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z. |
|
+0
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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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: A082487 A081798 A063399 this_sequence A027502 A050285 A096760
Adjacent sequences: A070064 A070065 A070066 this_sequence A070068 A070069 A070070
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Dean Hickerson (dean.hickerson(AT)yahoo.com) and Dan Asimov(asimov(AT)msri.org), Apr 18 2002
|
|
|
Search completed in 0.002 seconds
|
