OME 2017 Problem 1

Find the amount of different values given by the following expression: $\frac{n^2-2}{n^2-n+2}$ where $n \in \{1,2,3,..,100\}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.