|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Long-term behavior of solutions of the difference equation xn+1 = xn-1xn-2 -1||Journal:||Abstract and Applied Analysis||Volume:||2010||Issue Date:||1-Dec-2010||Rank:||M21a||ISSN:||1085-3375||DOI:||10.1155/2010/152378||Abstract:||
We investigate the long-term behavior of solutions of the following difference equation: xn+1 = xn-1xn-2 -1, n ∈ ℕ0, where the initial values x-2, x -1, and x0 are real numbers. Numerous fascinating properties of the solutions of the equation are presented.
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