On the recursive sequence yn+l = α+yn-1/β+yn+Yn-1/Yn

We study the global stability, the boundedness character and the periodic nature of the positive solutions of the difference equation yn+1 = (beta+yn) (alpha+yn-1) + (yn)/(yn-1), n = 0, 1,2,..., where a, beta epsilon (0,infinity), a not equal beta, beta not equal 2 and the initial conditions y(-1), y(0) are arbitrary positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.