GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx2AND wx2∓ 1

DOI10.4134/BKMS.2014.51.4.1041zbMath1375.11016MaRDI QIDQ2877807

Refik Keskin

Publication date: 25 August 2014

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=412161

zbMATH Keywords

congruencesDiophantine equationgeneralized Fibonacci numbersgeneralized Lucas numbers

Mathematics Subject Classification ID

Recurrences (11B37) Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Related Items (6)

On the equation \(V_n=wx^2\mp 1\) ⋮ On the {L}ucas sequence equations {\(V_n(P,1)=wkx^2\)}, {\(w\in\{5,7\}\)} ⋮ Balancing and balancing-like numbers which are one away from perfect powers ⋮ Generalized Fibonacci numbers of the form \(wx^2 + 1\) ⋮ Unnamed Item ⋮ Unnamed Item

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