On the Recursive Sequence xn + 1 = A + xpn / xpn − 1

Recently, there has been great interest in studying nonlinear and rational difference equations (cf. [1–23] and the references therein). One of the reasons for this is a necessity for some techniques which can be used in investigating equations arising in mathematical models describing real-life situations in population biology, economics, probability theory, genetics, psychology, sociology, and so forth. Such equations also appear naturally as discrete analogs of differential equations which model various biological and economic systems (see, e.g., [6, 8–11, 16, 22] and the references therein). In [5], the authors investigated the positive solutions of the difference equation