Sequences related to the Pell generalized equation

Mathematics – Combinatorics

Scientific paper

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Fixed some minor typos

Scientific paper

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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