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In this paper, we discuss the global behavior of all solutions of the difference equation xn+1 = xnxn−1 axn + bxn−1 , n ∈ N0, where a, b are real numbers and the initial conditions x−1, x0 are real numbers. We determine the forbidden set and give an explicit formula for the solutions. We show the existence of periodic solutions, under certain conditions.

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This is continuation of our article [4]. When F and G in [4] are constant sequences, we obtain continued fraction for zeta(3) parametrized by some family of points (F,G) on projective line. This family of points can be obtained if from full projective line would be removed some no more than countable nowhere dense exeptional set of finite points. A countable nowhere dense set, which contains the above exeptional set of finite points, is specified also.

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