A Characterization of Certain Binary Recurrence Sequences

Andreas Dress () and Florian Luca ()
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Andreas Dress: Bielefeld University, Mathematics Department
Florian Luca: Bielefeld University, Mathematics Department

A chapter in Algebraic Combinatorics and Applications, 2001, pp 89-101 from Springer

Abstract: In this note, we show that if (An) n≥0 is a sequence of integers such that (|An|) n≥0 diverges to infinity and lim sup n → ∞ | A n 2 − A n + 1 A n − 1 | | A n | < 1 2 $$\mathop{{\lim \sup }}\limits_{{n \to \infty }} \frac{{|A_{n}^{2} - {{A}_{{n + 1}}}{{A}_{{n - 1}}}|}}{{\sqrt {{|{{A}_{n}}|}} }}

Keywords: Algebraic Number; Arithmetical Progression; Mathematic Department; Constant Sign; Irreducible Polynomial (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_6

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DOI: 10.1007/978-3-642-59448-9_6

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