3-step Fibonacci series modulo \(m\).

DOI10.1016/S0096-3003(02)00360-0zbMath1041.11012MaRDI QIDQ1399777

Engin Özkan, Ramazan Dikici, Hüseyin Aydin

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Fibonacci sequenceFibonacci recurrenceWall number

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (11)

On the \(2k\)-step Jordan-Fibonacci sequence ⋮ Truncated Lucas sequence and its period ⋮ On the co-complex-type \(k\)-Fibonacci numbers ⋮ Unnamed Item ⋮ The quaternion-Pell sequence ⋮ Unnamed Item ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials ⋮ On a new family of gauss k-Lucas numbers and their polynomials ⋮ The complex-typek-Fibonacci sequences and their applications ⋮ On the reciprocal sum of the fourth power of Fibonacci numbers

Cites Work

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• A fast algorithm for computing large Fibonacci numbers
• Fibonacci representations of the symmetric groups
• An application of Fibonacci sequences in groups
• Generating trees and forbidden subsequences
• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups

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