Results 61 to 70 of about 218 (162)

On the Balancing-bilinear system of difference equations: solutions via some number sequences and global stability

Miskolc Mathematical Notes
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj   +1 more source

On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers. For this, first we prove that when the values of the positive integer D are chosen as balancing numbers, there exist integer solutions of the Diophantine equations that ...
Selin Sarı, Gül Karadeniz-Gözeri, Pramita Mishra   +2 more
wiley   +1 more source

$k$-Pell-Lucas numbers as Product of Two Repdigits

, 2022
15 ...
Tripathy, Bibhu Prasad, Patel, Bijan Kumar   +1 more
openaire   +2 more sources

A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1. We obtained the characteristic function, generating function, and Binet’s formula for this sequence and propose a ...
Hasan Gökbaş, Mohammad W. Alomari
wiley   +1 more source

Pell and Pell–Lucas Sequences of Fractional Order

Fractal and Fractional
The purpose of this paper is to introduce the fractional Pell numbers, together with several properties, via a Grünwald–Letnikov fractional operator of orders q∈(0,1) and q∈(1,2).
Jagan Mohan Jonnalagadda, Marius-F. Danca   +1 more
doaj   +1 more source

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach. [PDF]

Heliyon, 2022
Anđelić M, da Fonseca CM, Yılmaz F.
europepmc   +1 more source

Convolutions of the generalized Pell and Pell-Lucas numbers

Filomat, 2016
We consider the convolution of the generalized Pell numbers-P(s) n,m and the convolution of the generalized Pell-Lucas numbers-Q(s) n,m. For s = 0, the sequence P(0) n,m represents the generalized Pell numbers Pn;m, and the sequence Q(0) n,m represents the generalized Pell-Lucas numbers Qn,m ([1], [2]). For m = 2 and s = 0, the numbers P(0)
openaire   +1 more source

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers

, 2022
First ...
openaire   +2 more sources

A comparative case study of the accommodation of students with disabilities in online and in-person degree programs. [PDF]

PLoS One, 2023
Mead C, Price C, Gin LE, Anbar AD, Collins JP, LePore P, Brownell SE.   +6 more
europepmc   +1 more source

Pell and Pell-Lucas numbers as sums of three repdigits

, 2020
Same work has been study by another ...
Bhoi, Kisan, Patel, Bijan Kumar, Ray, Prasanta Kumar   +2 more
openaire   +2 more sources