Results 91 to 100 of about 1,163,753 (215)

The Matrix Sequence in terms of bi-periodic Fibonacci numbers [PDF]

arXiv, 2016
In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After that, we say that some behaviours of bi-periodic Fibonacci numbers also can be obtained by considering properties of this ...
arxiv  

Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. [PDF]

Entropy (Basel), 2023
Wang L, Ran Q, Ding J.
europepmc   +1 more source

Generalized Fibonacci Sequences and Binet-Fibonacci Curves [PDF]

arXiv, 2017
We have studied several generalizations of Fibonacci sequences as the sequences with arbitrary initial values, the addition of two and more Fibonacci subsequences and Fibonacci polynomials with arbitrary bases. For Fibonacci numbers with congruent indices we derived general formula in terms of generalized Fibonacci polynomials and Lucas numbers.
arxiv  

Tunable multichannel Fibonacci one-dimensional terahertz photonic crystal filter. [PDF]

Sci Rep, 2023
Sepahvandi V, Rezaei B, Aly AH.
europepmc   +1 more source

Generalized Natural Density $\DF(\mathfrak{F}_n)$ of Fibonacci Word [PDF]

arXiv
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, $k$-Fibonacci words, and their combinatorial properties. We established that the $n$-th root of the absolute value of terms in a random Fibonacci sequence converges to $1.13198824\ldots$, a symmetry identity for sums involving Fibonacci ...
arxiv  

New Properties and Matrix Representations on Higher-Order Generalized Fibonacci Quaternions with q-Integer Components

Axioms
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu, Ren-Chuen Chen   +3 more
doaj   +1 more source

Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]

Sensors (Basel), 2022
Maksymovych V, Shabatura M, Harasymchuk O, Shevchuk R, Sawicki P, Zajac T.   +5 more
europepmc   +1 more source

On the distance between generalized Fibonacci numbers [PDF]

, 2015
Jhon J. Bravo, Carlos A. Gómez, Florian Luca   +2 more
openalex   +1 more source

GCD of sums of $k$ consecutive Fibonacci, Lucas, and generalized Fibonacci numbers

, 2021
Dan Guyer, Aba Mbirika
openalex   +2 more sources

The generalized bi-periodic Fibonacci quaternions and octonions [PDF]

arXiv, 2018
In this paper, we present a further generalization of the bi- periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions. The results of this paper not only give a generalization of the bi-periodic Fibonacci quaternions and octonions, but also include ...
arxiv