# 250 Follower Problem

Algebra Level 4

Let the roots of the equation $$x^m - x^2 - x - 250m = 0$$ be $$\omega_{1,m}, \omega_{2,m}, \ldots, \omega_{m,m}$$.

Find the value of

$\sum_{n=6}^{250} \sum_{k=1}^n {\omega^{n-2}_{k,n} }$

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