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Omni-MATH / A sequence a_(n)_(n≥0) of real numbers satisfies the recursion a_(n+1)=a_(n)³−3a_(n)²+3 for all positive integers n. For how many values of a₀ does a₂₀₀₇=a₀ ? · Discussion

Discussing A sequence {a_(n)}_(n≥0) of real numbers satisfies the recursion a_(n+1)=a_(n)³−3a_(n)²+3 for all positive integers n. For how many values of a₀ does a₂₀₀₇=a₀ ? · Omni-MATH

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