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MR2137703 (2005m:39032) 39A11 (39A10)
Stević, Stevo On the recursive sequence $x\sb {n+1}=\alpha+{x\sp p\sb {n-1}\over x\sp p\sb n}$. J. Appl. Math. Comput. 18 (2005), no. 1-2, 229–234.
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