On the difference equation xn+1 = xn-1 / (-1+xnxn-1)

In this paper, we investigate the solutions of the difference equation x"n"+"1=x"n"-"1-1+x"nx"n"-"1, n=0,1,2,..., where x"-"1 and x"0 are the real numbers such that x"-"1x"0 1.