On the Lucas sequence equations \(V_n=7\,\square \) and \(V_n=7V_m\,\square \)

DOI10.1007/s40840-015-0295-xzbMath1387.11014OpenAlexW2465199672MaRDI QIDQ1695608

Olcay Karaatlı, Refik Keskin

Publication date: 7 February 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0295-x

zbMATH Keywords

Pell equationsDiophantine equationsLucas sequences of first and second kind

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

On the {L}ucas sequence equations {\(V_n(P,1)=wkx^2\)}, {\(w\in\{5,7\}\)}

Cites Work

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• On squares in Lucas sequences
• Square-classes in Lucas sequences having odd parameters
• Lucas sequences whose 12th or 9th term is a square
• The square terms in Lucas sequences
• Squares in some recurrent sequences
• THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES
• Lucas sequences whose nth term is a square or an almost square
• Squares in Lucas sequenceshaving an even first parameter
• My Numbers, My Friends
• Generalized Fibonacci and Lucas numbers of the form 5x²
• Eight Diophantine Equations
• Five Diophantine Equations.

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