Results 111 to 120 of about 48,003 (223)

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

On the norms of r-circulant matrices with generalized bi-periodic Fibonacci numbers [PDF]

, 2021
Mehmet Daǧlı, Elif Tan, Oktay Ölmez
openalex   +1 more source

Spherical GTM: A New Proposition for Visualization of Chemical Data

Molecular Informatics, Volume 44, Issue 5-6, June 2025.
The Spherical Generative Topographic Mapping method extends the Generative Topographic Mapping method to a spherical manifold to address known nonflat topology issues. The mathematical formalism of this new approach is described, and its ability to visualize in 2D electron density patterns and a tangible chemical library is showcased.
Farah Asgarkhanova, Marcou Gilles, Mikhail Volkov, Murielle Muzard, Richard Plantier‐Royon, Caroline Rémond, Dragos Horvath, Alexandre Varnek   +7 more
wiley   +1 more source

Special Matrices Associated with Generalized Fibonacci Numbers [PDF]

, 2019
Gamaliel Cerda-Morales
openalex   +1 more source

Weighted sum of the sixth powers of Horadam numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Ohtsuka and Nakamura found simple formulas for Σⁿⱼ₌₁Fⱼ⁶ and Σⁿⱼ₌₁Lⱼ⁶, where Fₖ and Lₖ are the k-th Fibonacci and Lucas numbers, respectively. In this note we extend their results to a general second order sequence by deriving a formula for Σⁿⱼ₌₁(-1/q³ ...
Kunle Adegoke, Chiachen Hsu, Olawanle Layeni   +2 more
doaj   +1 more source

Generalization of the Distance Fibonacci Sequences

Axioms
In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties ...
Nur Şeyma Yilmaz, Andrej Włoch, Engin Özkan   +2 more
doaj   +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

On the generalized Gaussian Fibonacci numbers

, 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

Restricted Binary Strings and Generalized Fibonacci Numbers [PDF]

, 2017
We provide some interesting relations involving k-generalized Fibonacci numbers between the set \(F_n^{(k)}\) of length n binary strings avoiding k of consecutive 0’s and the set of length n strings avoiding \(k+1\) consecutive 0’s and 1’s with some more restriction on the first and last letter, via a simple bijection.
openaire   +2 more sources

A Study on Generalized Fibonacci Numbers: Sum Formulas $\sum_{k=0}^{n}kx^{k}W_{k}^{3}$ and $\sum_{k=1}^{n}kx^{k}W_{-k}^{3}$ for the Cubes of Terms

, 2020
Yüksel Soykan
openalex   +2 more sources