Abstract

Let {Un(P, Q)} and {Vn(P, Q)} denote the Lucas sequence and companion Lucas sequence, respectively, with parametersPandQ. For all odd relatively prime values ofPandQsuch thatD=P2−4Qis positive, we determine all indicesnsuch thatUn(P, Q), 2Un(P, Q),Vn(P, Q) or 2Vn(P, Q) is a square. The conditionD>0 assures that the result holds for all such sequences whose terms are positive.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.