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Omni-MATH / A sequence of real numbers a₀,a₁,…,a₉ with a₀=0,a₁=1, and a₂>0 satisfies a_(n+2)a_(n)a_(n−1)=a_(n+2)+a_(n)+a_(n−1) for all 1≤n≤7, but cannot be extended to a₁₀. In other words, no … · Discussion

Discussing A sequence of real numbers a₀,a₁,…,a₉ with a₀=0,a₁=1, and a₂>0 satisfies a_(n+2)a_(n)a_(n−1)=a_(n+2)+a_(n)+a_(n−1) for all 1≤n≤7, but cannot be extended to a₁₀. In other words, no … · Omni-MATH

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