Results 11 to 20 of about 10,192,155 (339)
Lucas factoriangular numbers [PDF]
Mathematica Bohemica, 2020 We show that the only Lucas numbers which are factoriangular are $1$ and $2$.
Bir Kafle, Florian Luca, Alain Togbé
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On quaternions with generalized Fibonacci and Lucas number components
, 2015 In this paper, we give the exponential generating functions for the generalized Fibonacci and generalized Lucas quaternions, respectively. Moreover, we give some new formulas for binomial sums of these quaternions by using their Binet forms.
Emrah Polatlı, Seyhun Kesim
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Some Properties of (p, q) - Lucas Number
, 2016 In this paper, we consider the generalized Lucas sequence which is the (p, q) Lucas sequence. Then we used the Binet’s formula to show some properties of the (p, q) Lucas number. We get some generalized identities of the (p, q) Lucas number.
Alongkot Suvarnamani
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Data Hiding Technique using Catalan-Lucas Number Sequence
, 2017 In this paper, a novel data hiding technique is proposed which is an improvement over an existing data hiding techniques. Generally, a pixel intensity value of an image is represented by 8-bit binary sequence.
Shilpa Pund-Dange, Chitra Desai
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The Lucas property of a number array
Discrete Mathematics, 2002 Let \(p\) be a prime and \(\alpha\), \(\beta\), \(\gamma\), \(\delta\) be nonnegative integers such that \(0\leq \beta< p\) and \(0\leq\delta< p\). A double integer number array \(N(i,j)\), where \(i\) and \(j\) are nonnegative integers, is said to satisfy the Lucas property, if \(N(\alpha p+\beta, \gamma p+\delta)\equiv N(\alpha, \gamma)N(\beta,\delta)
Marko Razpet
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The extended Frobenius problem for Lucas series incremented by a Lucas number [PDF]
Quaestiones Mathematicae13 pages.
Aureliano M. Robles-Pérez +1 more
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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Edge General Position Sets in Fibonacci and Lucas Cubes [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2023 A set of edges X⊆E(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X ...
S. Klavžar, E. Tan
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Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds
AIMS Mathematics, 2021 Lucas sequences of the first and second kinds are, respectively, the integer sequences $ (U_n)_{n\geq0} $ and $ (V_n)_{n\geq0} $ depending on parameters $ a, b\in\mathbb{Z} $ and defined by the recurrence relations $ U_0 = 0 $, $ U_1 = 1 $, and $ U_n ...
Kritkhajohn Onphaeng +1 more
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On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers [PDF]
Mathematica Pannonica, 2023 Let (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in ...
Kouessi Norbert Ad'edji +1 more
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