Equations with Solution in Terms of Fibonacci and Lucas Sequences

Titu Andreescu; Dorin Andrica

doi:10.2478/auom-2014-0046

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Equations with Solution in Terms of Fibonacci and Lucas Sequences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 3 (September 2014)

By: Titu Andreescu and Dorin Andrica

Open Access

|Dec 2015

Abstract

The main results characterize the equations (2.1) and (2.10) whose solutions are linear combinations with rational coefficients of at most two terms of classical Fibonacci and Lucas sequences.

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0046 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 12

Submitted on: Jun 30, 2013

Accepted on: Oct 24, 2013

Published on: Dec 22, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

special Pell’s equation,

negative special Pell’s equation,

Fibonacci and Lucas sequences

Related subjects:

Mathematics,

General mathematics

© 2015 Titu Andreescu, Dorin Andrica, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 3 (September 2014)