A classification of Markoff-Fibonacci m-triples

D. Alfaya, L. A. Calvo, A. Martínez de Guinea +2

We classify all solution triples with Fibonacci components to the equation $a^2+b^2+c^2=3abc+m,$ for positive $m$. We show that for $m=2$ they are precisely $(1,F(b),F(b+2))$, with…