Results 21 to 30 of about 1,632,723 (171)
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 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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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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Multiplicative Triple Fibonacci Sequence of Third Order
, 2021 The Coupled Fibonacci Sequence are Firstly established by K.T. Atanassov in 1985. The abstractions of Fibonacci Triple Sequence are considered in 1987. Fibonacci Sequence stands as a kind of super sequence with Fabulous properties.
et. al., Vipin Verma,
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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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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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Arithmetic aspects of the Fibonacci sequence [PDF]
, 2022 This research was elaborated with the objective of using arithmetic means to study and prove properties of the Fibonacci sequence, properties that were described along the time by mathematicians of the whole world.
Melgueiro, Francisco Breno de Souza
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Some Inequalities for the Triangle Involving Fibonacci Numbers [PDF]
, 2004 In this note classical inequalities and Fibonacci numbers are used to obtain some miscellaneous inequalities involving the elements of a ...
Díaz-Barrero, José Luis
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On (k,p)-Fibonacci numbers and matrices [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with ...
Sinan Karakaya +2 more
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