Can anyone identify the orthogonal polynomial for this recurrence relation?

Question

I have come across this recurrence relation: \begin{equation} x p_n(x) = (N - n)(n + 1) p_{n+1}(x) + (N - n + 1) n p_{n - 1}(x) \end{equation} with $p_{-1}(x) = p_{N + 1}(x) = 0$. I expect $p_n(x)$ to be an orthogonal polynomial. Initially, I guessed a Kravchuk polynomial, but this doesn't seem to work. Any help is much appreciated.