Question 51
Let $(a_n)$ be defined by $a_1,a_2\in[0,100]$ and
$$a_{n+1}=a_n+\frac{a_{n-1}}{n^2-1}\quad\text{for every integer }n\ge2.$$
Does an integer $n$ exist with $a_n\gt2013$?
$$a_{n+1}=a_n+\frac{a_{n-1}}{n^2-1}\quad\text{for every integer }n\ge2.$$
Does an integer $n$ exist with $a_n\gt2013$?