Results 1 to 10 of about 2,249 (234)
Some results on one type of graph family with some special number sequences
AKCE International Journal of Graphs and Combinatorics, 2020 In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar +2 more
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On the greatest common divisor of $n$ and the $n$th Fibonacci number, II [PDF]
, 2022 Abhishek Jha, Carlo Sanna
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Generalized Natural Density DF(Fk) of Fibonacci Word
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThis paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
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Complete k-ary trees and generalized meta-Fibonacci sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We show that a family of generalized meta-Fibonacci sequences arise when counting the number of leaves at the largest level in certain infinite sequences of k-ary trees and restricted compositions of an integer.
Chris Deugau, Frank Ruskey
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Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]
Advances in Difference Equations, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
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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
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Afyon Kocatepe University Journal of Sciences and Engineering, 2023 Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence ...
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Some equalities and binomial sums about the generalized Fibonacci number $u_n$ [PDF]
, 2022 Yücel Türker Ulutaş, Derya Toy
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On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
International Journal of Mathematics and Mathematical Sciences, 2011 Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest natural number k such that n divides Fk. For instance, for all n=Fm≥5, we have z(n−1)>z(n)
Diego Marques
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Fibonacci factoriangular numbers
Indagationes Mathematicae, 2017 A recent conjecture is proved asserting that \(2, 5\), and \(34\) are the only Fibonacci numbers that are of the form \(n! + n(n+1)/2\) for some integer \(n\). The main tool to prove it is an upper bound for a non-zero \(p\)-adic linear form in two logarithms of algebraic numbers.
Gómez Ruiz, C. +1 more
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