Results 71 to 80 of about 17,392 (179)
Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence
Communications in Advanced Mathematical SciencesThe focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista +2 more
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Closed formulas for finite sums of weighted fractional generalized fibonacci products [PDF]
, 2018 © 2018 Fibonacci Association. All rights reserved. In this paper, we present closed formulas for finite sums of fractions involving weighted products of generalized Fibonacci numbers. There are two significant features that characterize the main results.
Melham, RS
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On Fibonacci Functions with Period
Discrete Dynamics in Nature and Society, 2013 A function is said to be a Fibonacci function if for all . In 2012, some properties on the Fibonacci functions were presented. In this paper, for any positive integer , a function is said to be a Fibonacci function with period if for all ; we ...
Banyat Sroysang
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On integer sequences in cryptography
Journal of Mathematical CryptologyInteger 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
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DEVELOPMENT OF REDOX REACTION LEARNING MEDIA BASED ON MULTIPLE REPRESENTATIONS
EDUSAINSThe 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
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FIBONACCI TILINGS IN FASHION DESIGN [PDF]
Annals of the University of Oradea: Fascicle of Textiles, Leatherwork, 2016 The Fibonacci sequence is a symbol of beauty and harmony and by this reason geometrical objects in its proportions are used in the design. There are some versions of Fibonacci series tiling, which are constructed with equilateral geometrical figures ...
KAZLACHEVA Zlatina
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Power Fibonacci sequences in quadratic integer modulo m [PDF]
Notes on Number Theory and Discrete MathematicsThe 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 +3 more
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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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Dissipative processes at the acoustic horizon
New Journal of PhysicsA transonic fluid flow generates an acoustic hole that is the hydrodynamic analogue of a gravitational black hole (BH). Acoustic holes emit a detectable thermal radiation of phonons at a characteristic Hawking temperature. The crucial concept is that the
Maria Luisa Chiofalo +3 more
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On the arrowhead-Fibonacci numbers
Open Mathematics, 2016 In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties.
Gültekin Inci, Deveci Ömür
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