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Universal Journal of Mathematics and Applications, 2019 In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
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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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Random Fibonacci sequences [PDF]
Journal of Physics A: Mathematical and General, 2001 Solutions to the random Fibonacci recurrence x_{n+1}=x_{n} + or - Bx_{n-1} decrease (increase) exponentially, x_{n} = exp(lambda n), for sufficiently small (large) B. In the limits B --> 0 and B --> infinity, we expand the Lyapunov exponent lambda(B) in powers of B and B^{-1}, respectively.
Sire, Clément, Krapivsky, Paul L.
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The sequence of trifurcating Fibonacci numbers
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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Kajian Morfisme Untuk Variasi Kurva Dense Fibonacci Word
Jurnal Matematika, 2021 The Fibonacci word is one example of a fractal object. The fractal Fibonacci word has the property of being similar to curves with curves. The curve Fibonacci word generated based on the Fibonacci word sequence. The Fibonacci word sequence can be defined
Anggi Enggar Sari +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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Fibonacci sequences in groupoids [PDF]
Advances in Difference Equations, 2012 Abstract In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of interest to decide when these two ways are equivalent, i.e., when they produce the same sequence for the same ...
Han, Jeong Soon +2 more
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