Abstract
Let A, B, G 0, G 1 be integers, and G n = AG n − 1 − BG n − 2 for n ≥ 2. Let further S be the set of all nonzero integers composed of primes from some fixed finite set. In this paper we shall prove that natural conditions for A, B, G 0 and G 1 imply, that the diophantine equation G n = wx q has only finitely many solutions in integers ∥ x∥ > 1, q ≥ 2, n and w ∈ S.
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