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Let f_n be a sequence of nonnegative integers satisfying the recurrence relation f_n = (n^3 - 3n^2 + 2n) f_n-3, as well as f_1 =
Let f_n be a sequence of nonnegative integers satisfying the recurrence relation f_n = (n^3 - 3n^2 + 2n) f_n-3, as well as f_1 = 1, f_2 = 2, an f_3 = 6. Prove by strong induction that f_n = n! holds for all integers n greater than or equal to 1
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