If we know $$x+y+z=1$$$$x^2+y^2+z^2=2$$$$x^3+y^3+z^3=3$$ Is it possible to calculate the general solution for $a_n=x^n+y^n+z^n$?
I know $a_5=6$ but the way to get it is more an algorithm than an actual solution.
If we know $$x+y+z=1$$$$x^2+y^2+z^2=2$$$$x^3+y^3+z^3=3$$ Is it possible to calculate the general solution for $a_n=x^n+y^n+z^n$?
I know $a_5=6$ but the way to get it is more an algorithm than an actual solution.