The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
, 2022 Aureliano M. Robles-Pérez +1 more
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The density of numbersnhaving a prescribed G.C.D. with thenth Fibonacci number [PDF]
Indagationes mathematicae, 2017 C. Sanna, Emanuele Tron
semanticscholar +1 more source
Counting isomorphism classes of groups of Fibonacci type with a prime power number of generators
, 2023 E.M. Mohamed, Gerald Williams
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Gap terminology and related combinatorial properties for AVL trees and Fibonacci-isomorphic trees
AKCE International Journal of Graphs and Combinatorics, 2018 We introduce gaps that are edges or external pointers in AVL trees such that the height difference between the subtrees rooted at their two endpoints is equal to 2.
Mahdi Amani
doaj
Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers [PDF]
arXivWe considered the properties of generalized Fibonacci and Lucas numbers class. The analogues of well-known Fibonacci identities for generalized numbers are obtained. We gained a new identity of product convolution of generalized Fibonacci and Lucas numbers.
arxiv
Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers [PDF]
arXiv, 2007 The three anti-commutative two-dimensional Pauli Pascal triangles can be generalized into multi-dimensional Pauli Pascal hyperpyramids. Fibonacci and Jacobsthal numbers are then generalized into Pauli Fibonacci numbers, Pauli Jacobsthal numbers, and Pauli Fibonacci numbers of higher order. And the question is: are Pauli rabbits killer rabbits?
arxiv
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
Linear regression with Fibonacci-derived polynomials for temperature prediction model
Discover DataThis research work explores the integration of Fibonacci-derived polynomial and linear equations from Fibonacci numbers into a machine learning framework for predictive modeling of environmental datasets, such as wind speed, temperature, and humidity ...
Ahmed O. Ameen, Johnson O. Fashanu
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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
Lyndon words and Fibonacci numbers
Journal of Combinatorial Theory, Series A, 2014 It is a fundamental property of non-letter Lyndon words that they can be expressed as a concatenation of two shorter Lyndon words. This leads to a naive lower bound log_{2}(n)} + 1 for the number of distinct Lyndon factors that a Lyndon word of length n must have, but this bound is not optimal.
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