Sequences related to the Pell generalized equation

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.

Fixed some minor typos