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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A327337 Consider primitive solutions (x,y,z) to the system x+y+z = r^2, x^2+y^2+z^2 = s^2, x^3+y^3+z^3 = t^2, with 0
 129, 2873, 92218, 101464, 252092, 322966, 732516 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A solution is primitive if it cannot be obtained multiplying another solution by a square greater than 1, i.e., if GCD(x,y,z) is squarefree. The first two solutions are reported in Choudhry's paper, whose main purpose is providing a parametric solution. LINKS Ajai Choudhry, A diophantine system,  arXiv:1908.09742v1 [math.NT], 2019. EXAMPLE 108 + 124 + 129 = 19^2, 108^2 + 124^2 + 129^2 = 209^2, 108^3 + 124^3 + 129^3 = 2305^2. CROSSREFS The corresponding x and y values are in A327338 and A327339. Cf. A139266. Sequence in context: A301551 A297493 A279640 * A305722 A189608 A168067 Adjacent sequences:  A327334 A327335 A327336 * A327338 A327339 A327340 KEYWORD nonn,more AUTHOR Giovanni Resta, Sep 02 2019 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.

Last modified June 26 06:36 EDT 2022. Contains 354877 sequences. (Running on oeis4.)