On the periods of biperiodic Fibonacci and biperiodic Lucas numbers

DOI10.1155/2016/7341729zbMath1368.11018OpenAlexW2561631829WikidataQ59123632 ScholiaQ59123632MaRDI QIDQ2398559

Gul Ozkan Kızılırmak, Dursun Tasci

Publication date: 16 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/7341729

zbMATH Keywords

quadratic reciprocitybiperiodic Fibonacci numbersbiperiodic Lucas sequences

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Power residues, reciprocity (11A15)

Related Items (1)

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Cites Work

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• Two generalizations of Lucas sequence
• \(k\)-Fibonacci sequences modulo \(m\)
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• The Period, Rank, and Order of the (a, b)-Fibonacci Sequence Mod m
• Splitting Fields and Periods of Fibonacci Sequences Modulo Primes
• The k-Periodic Fibonacci Sequence and an Extended Binet's Formula
• Fibonacci Series Modulo m
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula

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