\(k\)-nacci sequences in finite triangle groups.

DOI10.1155/2009/453750zbMath1197.11025OpenAlexW2144749783WikidataQ58647481 ScholiaQ58647481MaRDI QIDQ1040126

Erdal Karaduman, Ömür Deveci

Publication date: 23 November 2009

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

Full work available at URL: https://eudml.org/doc/229786

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Commutator calculus (20F12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

Truncated Lucas sequence and its period ⋮ The \(k\)-nacci sequences in \(Q_{2^n}\times_\varphi\mathbb Z_{2m}\) ⋮ The Tribonacci-type balancing numbers and their applications ⋮ On the basic \(k\)-nacci sequences in finite groups

Cites Work

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• Fibonacci lengths involving the Wall number \(k(n)\).
• Fibonacci length of direct products of groups
• The triangle groups
• Fibonacci length of automorphism groups involving Tribonacci numbers
• On the relationship between the recurrences in nilpotent groups and the binomial formula
• On truncated Fibonacci sequences
• The Fibonacci length of certain centro-polyhedral groups.
• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups

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