# Does this sequence even exist?

Find sum of all positive integers $$n$$ such that there exist a sequence of positive integers $$a_{1},a_{2},...,a_{n}$$ satisfying $a_{k+1}=\frac{a_{k}^{2}+1}{a_{k-1}+1}-1$ for every $$k$$ with $$2≤k≤n-1.$$

×

Problem Loading...

Note Loading...

Set Loading...