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The cyclic-Fibonacci hybrid sequence in groups [PDF]
Journal of Mahani Mathematical ResearchThe aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence ...
Esra Kırmızı Çetinalp +2 more
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, 2014 This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: given n, sum the previous two terms and divide them by the largest possible power of n. The behavior of such sequences depends on n. We analyze these sequences for small n: 2, 3, 4, and 5. Surprisingly these behaviors are very different.
Avila, Brandon, Khovanova, Tanya
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On the characteristic polynomial of ( k , p ) $(k,p)$ -Fibonacci sequence
Advances in Difference Equations, 2021 Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the ( k , p ) $(k,p)$ -Fibonacci sequence and denoted by ( F k , p ( n ) ) n ≥ 0 $(F_{k,p}(n))_{n\geq0}$ .
Pavel Trojovský
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The number of valid factorizations of Fibonacci prefixes [PDF]
, 2019 We establish several recurrence relations and an explicit formula for V(n), the number of factorizations of the length-n prefix of the Fibonacci word into a (not necessarily strictly) decreasing sequence of standard Fibonacci words.
Bonardo, Pierre +2 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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The Fibonacci-Padovan sequences in finite groups [PDF]
Maejo International Journal of Science and Technology, 2014 The Fibonacci-Padovan sequence modulo m was studied. Also, the Fibonacci-Padovan orbits of -generator finite groups such that was examined. The Fibonacci-Padovan lengths of the groups , and for , where Z is integer, were then obtained.
Sait Tas, Omur Deveci, Erdal Karaduman
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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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Fibonacci numbers: A population dynamics perspective
Heliyon, 2019 Fibonacci numbers or Fibonacci sequence is among the most popular numbers or sequence in Mathematics. In this paper, we discuss the sequence in a population dynamics perspective. We discuss the early development of the sequence and interpret the sequence
Asep K. Supriatna +2 more
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Accelerations of Generalized Fibonacci Sequences [PDF]
The Fibonacci Quarterly, 2011 In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
Marco Abrate +3 more
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Combined Pseudo-Random Sequence Generator for Cybersecurity
Sensors, 2022 Random and pseudo-random number and bit sequence generators with a uniform distribution law are the most widespread and in demand in the market of pseudo-random generators.
Volodymyr Maksymovych +5 more
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