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Sequences related to the Pell generalized equation

Mario Catalani

math.COarXiv:math/0304062

Abstract

We consider sequences of the type An=6An-1-An-2, A0=r, A1=s (r and s integers) and show that all sequences that solve particular cases of the Pell generalized equation are expressible as a constant times one of four particular sequences of the same type.

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