<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Equations with Solution in Terms of Fibonacci and Lucas Sequences

University of Texas at Dallas, School of Natural Sciences and Mathematics Richardson, TX 75080

Babeş-Bolyai University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Equations with Solution in Terms of Fibonacci and Lucas Sequences"}

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...

Equations with Solution in Terms of Fibonacci and Lucas Sequences

Published Online: Dec 22, 2015

Page range: 5 - 12

Received: Jun 30, 2013

Accepted: Oct 24, 2013

DOI: https://doi.org/10.2478/auom-2014-0046

Keywords
special Pell’s equation, negative special Pell’s equation, Fibonacci and Lucas sequences

© 2014 Titu Andreescu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Equations with Solution in Terms of Fibonacci and Lucas Sequences

Published Online: Dec 22, 2015

Page range: 5 - 12

Received: Jun 30, 2013

Accepted: Oct 24, 2013

DOI: https://doi.org/10.2478/auom-2014-0046

Keywordsspecial Pell’s equation, negative special Pell’s equation, Fibonacci and Lucas sequences

© 2014 Titu Andreescu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
special Pell’s equation, negative special Pell’s equation, Fibonacci and Lucas sequences