\(k\)-Fibonacci sequences modulo \(m\)

DOI10.1016/j.chaos.2008.02.014zbMath1198.11013OpenAlexW2001658933WikidataQ55966818 ScholiaQ55966818MaRDI QIDQ602349

Sergio Falcon, Ángel Plaza

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.02.014

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Related Items (12)

The \(p\)-adic order of the \(k\)-Fibonacci and \(k\)-Lucas numbers ⋮ Period of the discrete Arnold cat map and general cat map ⋮ On the periods of biperiodic Fibonacci and biperiodic Lucas numbers ⋮ On the co-complex-type \(k\)-Fibonacci numbers ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ The Tribonacci-type balancing numbers and their applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the arrowhead-Fibonacci numbers ⋮ On the complex k-Fibonacci numbers ⋮ The complex-typek-Fibonacci sequences and their applications

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• The golden section in measurement theory
• Deriving the essential features of the standard model from the general theory of relativity
• Statistical geometry of a Cantor discretum and semiconductors
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic
• On the Fibonacci \(k\)-numbers
• Non-Euclidean spacetime structure and the two-slit experiment
• On the cohomology and instantons number in \(E\)-infinity Cantorian spacetime
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• Stability analysis of the two-slit experiment with quantum particles
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Fibonacci Series Modulo m
• The Fibonacci Numbers: Exposed
• On the Non-Existence of Fibonacci Squares

This page was built for publication: \(k\)-Fibonacci sequences modulo \(m\)