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MR2661746 39A30
Zayed, E. M. E.; El-Moneam, M. A. On the rational recursive sequence $x_{n+1}=Ax_n+Bx_{n-k}+\frac{\beta x_n+\gamma x_{n-k}}{Cx_n+Dx_{n-k}}$. Acta Appl. Math. 111 (2010), no. 3, 287–301.
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