Sequences related to the Pell generalized equation

Mario Catalani

Sequences related to the Pell generalized equation

Combinatorics 2007-05-23 v2 Number Theory

Authors: Mario Catalani

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.

Keywords

integer sequences and recurrences

Cite

@article{arxiv.math/0304062,
  title  = {Sequences related to the Pell generalized equation},
  author = {Mario Catalani},
  journal= {arXiv preprint arXiv:math/0304062},
  year   = {2007}
}

Comments

Fixed some minor typos

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