Results 101 to 110 of about 1,260,698 (183)

ON SUMS OF SQUARES OF PELL-LUCAS NUMBERS

, 2006
In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd Pell-Lucas numbers.
Gian Mario Gianella, Zvonko Cerin
core  

On a new family of the generalized gauss k-pell-lucas numbers and their polynomials

, 2022
In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gauss k-Pell-Lucas numbers and the known Gauss Pell-Lucas ...
Kaya, Ahmet, Özimamoğlu, Hayrullah
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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

AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS [PDF]

We report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation  is based on the generating function  and  the Binet-like formulas of the aforementioned ...
Nguyen Duc Sang, Luu Ba Thang
core   +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

Pell and Pell-Lucas numbers with only one distinct digit [PDF]

In this paper, we show that there are no Pell or Pell-Lucas numbers larger than 10 with only one distinct ...
Luca, Florian, Faye, Bernadette
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k-Pell, k-Pell-Lucas and modified k-Pell numbers: some identities and norms of Hankel matrices [PDF]

, 2015
In this paper we present some identities involving terms of k-Pell, k-Pell-Lucas and Modified k-Pell sequences. We also give some results on the column and row norms of Hankel matrices which entries are numbers of these ...
Campos, Helena, Vasco, Paulo, Aires, Ana Paula, Borges, Anabela, Catarino, Paula   +4 more
core   +1 more source

On Pell and Pell-Lucas numbers

In this work, we consider the linear recurrent sequences with constant coefficients of order 2, focusing on those defining Pell and Pell-Lucas numbers. In this context, we have examined the corresponding Binet formulas and the possibilities for a Pell or
Samia, Zikem, Supervisor: Abdelmajid, Boudaoud, Fatima Zohra, Sayhi   +2 more
core  

ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS

, 2013
In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences and investigate some properties
Halıcı, Serpil
core  

On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

Annales Mathematicae Silesianae
In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj   +1 more source