Results 1 to 10 of about 9,186,862 (308)

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
doaj   +3 more sources

On the properties of Lucas numbers with binomial coefficients

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Necati Taskara, Kemal Uslu, Hasan Huseyin Gulec   +2 more
exaly   +3 more sources

Horadam–Lucas Cubes

Axioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Vesna Irsic, Elif Tan, Luka Podrug
exaly   +3 more sources

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj   +1 more source

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
doaj   +1 more source

ALTERED NUMBERS OF LUCAS NUMBER SQUARED

Journal of Scientific Reports-A, 2023
We investigate two types altered Lucas numbers denoted and defined by adding or subtracting a value from the square of the Lucas numbers. We achieve these numbers form as the consecutive products of the Fibonacci numbers. Therefore, consecutive sum-subtraction relations of altered Lucas numbers and their Binet-like formulas are given by using ...
Fikri KÖKEN, Emre KANKAL
openaire   +3 more sources

Construction of dual-generalized complex Fibonacci and Lucas quaternions

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
doaj   +1 more source

Transmission of Time and Position Variable Cryptology in Fibonacci and Lucas Number Series with Music

Journal of Mathematical Sciences and Modelling, 2021
Since people existed, they have prioritized confidentiality in information sharing and communication. Although there are independent studies on encryption and music in literature, no study is seen on encryption methods that are created by using the ...
Firdevs Nur Algül, Daniel Tavit, Cemil Karaçam   +2 more
doaj   +1 more source

Some new properties of hyperbolic k-Fibonacci and k-Lucas octonions [PDF]

Notes on Number Theory and Discrete Mathematics
The aim of this paper is to establish some novel identities for hyperbolic k-Fibonacci octonions and k-Lucas octonions. We prove these properties using the identities of k-Fibonacci and k-Lucas numbers, which we determined previously.
A. D. Godase
doaj   +1 more source

Formulae of the Frobenius number in relatively prime three Lucas numbers [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2020
In this paper, we find the explicit formulae of the Frobenius number for numerical semigroups generated by relatively prime three Lucas numbers 2 , L L i i and Lil  for given integers i ≥ 3, l ≥ 4 .
Ratchanok Bokaew, Boonrod Yuttanan, Sukrawan Mavecha   +2 more
doaj   +1 more source