On the Difference Equation x n + 1 = x n x n − 2 − 1

Candace M. Kent; Witold Kosmala; Stevo Stević

doi:10.1155/2011/815285

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2011 On the Difference Equation

x_{n + 1} = x_{n} x_{n - 2} - 1

Candace M. Kent, Witold Kosmala, Stevo Stević

Abstr. Appl. Anal. 2011: 1-15 (2011). DOI: 10.1155/2011/815285

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Abstract

The long-term behavior of solutions of the following difference equation: ${x}_{n+1}={x}_{n}{x}_{n-2}-1$ , $n\in {\mathbb{N}}_{0}$ , where the initial values ${x}_{-2}$ , ${x}_{-1}$ , ${x}_{0}$ are real numbers, is investigated in the paper.

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Candace M. Kent. Witold Kosmala. Stevo Stević. "On the Difference Equation $x_{n + 1} = x_{n} x_{n - 2} - 1$ ." Abstr. Appl. Anal. 2011 1 - 15, 2011. https://doi.org/10.1155/2011/815285