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In this study, we investigate the form of solutions, stability character andasymptotic behavior of the following rational difference equation  x_{n+1}=({\gamma}/(x_{n}(x_{n-1}+{\alpha})+\b{eta})), n=0,1,...,  where the inital values x_{-1} and x_{0} and {\alpha}, \b{eta} and {\gamma}with {\gamma} are nonnegative real numbers. Its solutions are associated withgeneralized Tribonacci numbers.

On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers