Prove that there doesn't exist any function $f:\mathbb{N}\rightarrow \mathbb{N}$ such that : $f(f(n-1)=f(n+1)-f(n)$, for every natural $n\geq2$
Source:
Tags: function, algebra
Prove that there doesn't exist any function $f:\mathbb{N}\rightarrow \mathbb{N}$ such that : $f(f(n-1)=f(n+1)-f(n)$, for every natural $n\geq2$