On the recursive sequence xn+1 = A/∏i=0 kxn-i + 1/∏j=k+22k(k+1) x n-j

Abstract

In [6] the authors proposed two open problems concerning the boundedness and the periodic nature of positive solutions of the nonlinear difference equation in the title. In this paper we prove a global covergence result and solve the open problems in the case A > 1.