login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn
AUTHOR
Dean Hickerson and Dan Asimov (asimov(AT)msri.org), Apr 18 2002
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)