On the \(2k\)-step Jordan-Fibonacci sequence

DOI10.1186/s13662-017-1178-2zbMath1422.11025OpenAlexW2608395908WikidataQ59517719 ScholiaQ59517719MaRDI QIDQ1631028

Sait Taş, Ömür Deveci, Adem Kilicman

Publication date: 5 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1178-2

zbMATH Keywords

groupperiodmatrixJordan-Fibonacci sequence

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Related Items (2)

Fibonacci length and the generalized order k-Pell sequences of the 2-generator p-groups of nilpotency class 2 ⋮ The generalized order k–Pell sequences in some special groups of nilpotency class 2

Cites Work

• Fibonacci lengths involving the Wall number \(k(n)\).
• 3-step Fibonacci series modulo \(m\).
• The cyclic groups via the Pascal matrices and the generalized Pascal matrices
• On the relationship between the recurrences in nilpotent groups and the binomial formula
• The Fibonacci length of certain centro-polyhedral groups.
• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups
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