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Sequences related to the Pell generalized equation

Mario Catalani
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Abstract

We consider sequences of the type $A_n=6A_{n-1}-A_{n-2}, A_0=r, A_1=s$ ($r$ 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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Mario Catalani. 2003-04-14. Sequences related to the Pell generalized equation. https://arxiv.org/abs/math/0304062

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