Results 21 to 30 of about 1,971,660 (140)

On some links between the generalised Lucas pseudoprimes of level k

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Pseudoprimes are composite integers sharing behaviours of the prime numbers, often used in practical applications like public-key cryptography. Many pseudoprimality notions known in the literature are defined by recurrent sequences.
Andrica Dorin, Bagdasar Ovidiu, Rassias Michael Th.   +2 more
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The Solution of a System of Higher-Order Difference Equations in Terms of Balancing Numbers

Pan-American Journal of Mathematics, 2023
In this paper, we are interested in the closed-form solution of the following system of nonlinear difference equations of higher order, un+1 = 1/34-vn-m , vn+1 = 1/34-un-m, n, m ∈ N0, and the initial values u-j and v-j , j∈{0, 1, ..., m} are real numbers
Ahmed Ghezal, Imane Zemmouri
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Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$ [PDF]

, 2020
summary:In this paper, we find all Pell and Pell-Lucas numbers written in the form $-2^a-3^b+5^c$, in nonnegative integers $a$, $b$, $c$, with $0\leq \max \{a,b\}\leq c$
Qu, Yunyun, Zeng, Jiwen
core   +1 more source

Lucas sequences and repdigits [PDF]

Mathematica Bohemica, 2022
Let $(G_n)_{n \geq1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are $\{U_n\}$ and $\{V_n\}$, respectively.
Hayder Raheem Hashim, Szabolcs Tengely
doaj   +1 more source

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila, Boussayoud Ali, Saba Nabiha   +2 more
doaj   +1 more source

A New Generalization of Pell-Lucas Numbers (Bi-Periodic Pell-Lucas Sequence)

Communications in Mathematics and Applications, 2019
In this study, we bring into light, a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as \begin{align*} Q_{n}= \begin{cases} 2bQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is even} \\ 2aQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is odd}% \end{cases} \text{\ \ }n\geq 2, \end{align*} with ...
Sukran Uygun, Hasan Karatas
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences [PDF]

, 2021
In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas ...
Rihane, Salah Eddine, Togbé, Alain, Salah Eddine Rihane, Alain Togbé   +3 more
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Almost neo cobalancing numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell,
Ahmet Tekcan, Ecem Akgüç
doaj   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

Mathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed, Andreas N. Philippou, Nasr Anwer Zeyada   +2 more
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Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
doaj   +1 more source