# Not as simple as it seems.

Discrete Mathematics Level 5

Let $$P_0(x) = x^3 + 313x^2 - 77x - 8$$ , For integers $$n \ge 1$$ ,, define $$P_n(x) = P_{n - 1}(x - n)$$ , What is the coefficient of $$x$$ , in $$P_{20}(x)$$ ?

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