Results 91 to 100 of about 394,323 (159)

On Dirichlet Products Evaluated at Fibonacci Numbers [PDF]

arXiv, 2016
In this work we discuss Dirichlet products evaluated at Fibonacci numbers. As first applications of the results we get a representation of Fibonacci numbers in terms of Euler's totient function, an upper bound on the number of primitive prime divisors and representations of some related Euler products.
arxiv  

Labeled Fibonacci Trees [PDF]

Legendre S. 2015. Labeled Fibonacci trees. The Fibonacci Quarterly 53: 152-167, 2014
The study describes a class of integer labelings of the Fibonacci tree, the tree of descent introduced by Fibonacci. In these labelings, Fibonacci sequences appear along ascending branches of the tree, and it is shown that the labels at any level are consecutive integers. The set of labeled trees is a commutative group isomorphic to $\mathbb{Z}^2$, and
arxiv  

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  

Some Properties of the Generalized Leonardo Numbers

Journal of New Theory
In this study, various properties of the generalized Leonardo numbers, which are one of the generalizations of Leonardo numbers, have been investigated. Additionally, some identities among the generalized Leonardo numbers have been obtained. Furthermore,
Yasemin Alp
doaj   +1 more source

Fibonacci numbers: A population dynamics perspective. [PDF]

Heliyon, 2019
Supriatna AK, Carnia E, Ndii MZ.
europepmc   +1 more source

Use of Fibonacci numbers in lipidomics - Enumerating various classes of fatty acids. [PDF]

Sci Rep, 2017
Schuster S, Fichtner M, Sasso S.
europepmc   +1 more source

A New Notion of Convergence Defined by The Fibonacci Sequence: A Novel Framework and Its Tauberian Conditions

Mathematics
The Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim, María C. Listán-García   +1 more
doaj   +1 more source

Alternating sums of reciprocal generalized Fibonacci numbers. [PDF]

Springerplus, 2014
Kuhapatanakul K.
europepmc   +1 more source

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

A Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]

Cureus, 2022
Ravindra C, Rengan V, B R.
europepmc   +1 more source