Results 1 to 10 of about 1,632,723 (171)
The sequence of trifurcating Fibonacci numbers [PDF]
Ratio Mathematica, 2021 One of the interesting generalizations of Fibonacci sequence is a k-Fibonacci sequence, which is further generalized into the ‘Bifurcating Fibonacci sequence’.
Parimalkumar A. Patel +1 more
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On the 2k-step Jordan-Fibonacci sequence
Advances in Difference Equations, 2017 In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
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Researches on Mathematical Relationship of Five Elements of Containing Notes and Fibonacci Sequence Modulo 5 [PDF]
The Scientific World Journal, 2015 Considering the five periods and six qi’s theory in TCM almost shares a common basis of stem-branch system with the five elements of containing notes, studying the principle or mathematical structure behind the five elements of containing notes can ...
Zhaoxue Chen
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The complex-type cyclic-Fibonacci sequence and its applications [PDF]
Journal of Mahani Mathematical Research, 2023 In the present paper, we aim to generalize the notion of complex-type Fibonacci sequences to complex-type cyclic Fibonacci sequences. Firstly, we define the complex-type cyclic-Fibonacci sequence and then we give miscellaneous properties of this ...
Ömür Deveci +2 more
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Notes on generalized and extended Leonardo numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon +2 more
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Deriving a Formula in Solving Reverse Fibonacci Means
Recoletos Multidisciplinary Research Journal, 2022 Reverse Fibonacci sequence $\{J_n\}$ is defined by the relation $J_n = 8(J_{n-1} - J_{n-2})$ for $n\geq2$ with $J_0=0$ and $J_1=1$ as initial terms. A few formulas have been derived for solving the missing terms of a sequence in books and mathematical ...
Steven Elizalde, Romeo Patan
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New Technique using Fibonacci Matrices with Play-Fair System in Cryptography
Tikrit Journal of Pure Science, 2022 In this paper we introduce a new Technique, this technique depends on the Fibonacci sequence and Fibonacci Matrices with a Play- Fair which is one of the cryptography systems.
Awni M.Gaftan +2 more
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Generalized Fibonacci Sequences for Elliptic Curve Cryptography
Mathematics, 2023 The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves.
Zakariae Cheddour +2 more
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On ideal convergence Fibonacci difference sequence spaces
Advances in Difference Equations, 2018 The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl.
Vakeel A. Khan +4 more
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Some properties of the generalized (p,q)- Fibonacci-Like number
MATEC Web of Conferences, 2018 For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
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