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On the recursive sequence \(x_{n+1}=\frac{x_{n-7}}{1+x_{n-1}x_{n-3}x_{n-5}} \). (English) Zbl 1490.39013

Summary: In this paper we are going to analyze the following difference equation \[x_{n+1}=\frac{x_{n-7}}{1+x_{n-1}x_{n-3}x_{n-5}} \quad n=0,1,2, \dots,\] where \(x_{-7}, x_{-6}, x_{-5}, x_{-4}, x_{-3}, x_{-2}, x_{-1}, x_0 \in \left(0,\infty\right)\).

MSC:

39A20 Multiplicative and other generalized difference equations
11B37 Recurrences
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References:

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