Results 101 to 110 of about 12,719 (235)

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
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On integer sequences in cryptography

Journal of Mathematical Cryptology
Integer sequences play a pivotal role in cryptography, acting as foundational elements for numerous cryptographic algorithms. This comprehensive investigation examines integer sequences that have significantly impacted the sector in domains such as key ...
Raso Mario, Venturi Daniele
doaj   +1 more source

The Polytopic-k-Step Fibonacci Sequences in Finite Groups

Discrete Dynamics in Nature and Society, 2011
We study the polytopic-k-step Fibonacci sequences, the polytopic-k-step Fibonacci sequences modulo m, and the polytopic-k-step Fibonacci sequences in finite groups.
Ömür Deveci
doaj   +1 more source

Power Fibonacci sequences in quadratic integer modulo m [PDF]

Notes on Number Theory and Discrete Mathematics
The power Fibonacci sequence in ℤₘ[√δ] is defined as a Fibonacci sequence Fₙ=Fₙ₋₁+Fₙ₋₂ where F₀=1 and F₁=a, such that a∈ℤₘ[√δ] and Fₙ≡aⁿ(mod m), for all n∈ℕ∪{0}. In this paper, we investigated the existence of power Fibonacci sequences in ℤₘ[√δ], and the
Paul Ryan A. Longhas, Cyryn Jade L. Prendol, Jenelyn F. Bantilan, Larra L. De Leon   +3 more
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Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila, Boussayoud Ali, Saba Nabiha   +2 more
doaj   +1 more source

p-regularity of the p-adic valuation of the Fibonacci sequence [PDF]

, 2015
peer reviewedWe show that the p-adic valuation of the sequence of Fibonacci numbers is a p-regular sequence for every prime p. For p≠2,5, we determine that the rank of this sequence is α(p)+1, where α(m) is the restricted period length of the Fibonacci ...
Rowland, Eric, Eric Rowland, Medina, Luis, Luis A. Medina   +3 more
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DEVELOPMENT OF REDOX REACTION LEARNING MEDIA BASED ON MULTIPLE REPRESENTATIONS

EDUSAINS
The use of Information & Communication Technology (ICT) media is widespread in education, thus necessitating the facilitation of chemistry learning activities that guide students to study redox materials.
Muhammad Hisyam, Anita Fibonacci
doaj   +1 more source

Fibonacci along even powers is (almost) realizable [PDF]

An integer sequence is called realizable if it is the count of periodic points of some map. The Fibonacci sequence (F_n) does not have this property, and the Fibonacci sequence sampled along the squares (F_(n^2)) also does not have this property.
Ward T, Moss P
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On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and manmade solid objects.
openaire   +1 more source

A Fibonacci - számok és a hozzá kapcsolódó érdekességek

, 2020
A szakdolgozatomban szeretném körbejárni a Fibonacci- sorozatot, forrásokat vizsgálni több aspektus szerint. A természeti jelenségektől egészen a matematikai vonatkozásokig szeretnék bemutatni ehhez kapcsolódóan néhány híres teóriát, jelenséget. Mivel a
Kópé, Bianka
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