Results 111 to 120 of about 2,867 (218)

On the (s,t)-Pell and (s,t)-Pell-Lucas numbers by matrix methods [PDF]

In this paper, we investigate some generalization of Pell and Pell-Lucas numbers, which is called (s, t)-Pell and (s, t)-Pell-Lucas numbers, and we define the 2 × 2 matrix W, which satisfy the relation W = 2sW+ tI.
Srisawat, Somnuk, Sriprad, Wanna
core  

ON THE ADJACENCY-PELL NUMBERS [PDF]

, 2019
In this paper, we define the adjacency-Pell sequences and then we obtain their miscellaneous properties such as the generating matrix, the Binet formula, the permanental representations, the determinantal representations, the combinatorial ...
KARADUMAN, Erdal, DEVECİ, ÖMÜR
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Summing a family of generalized Pell numbers [PDF]

, 2020
A new family of generalized Pell numbers was recently introduced and studied by Bród ([2]). These numbers possess, as Fibonacci numbers, a Binet formula.
Prodinger, Helmut
core   +1 more source

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

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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Equations with arithmetic functions of Pell numbers [PDF]

, 2014
Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell- Lucas companion number Qn is a power of 2, then n is greater ...
Pantelimon Stănică, Luca, Florian, Stănică, Pantelimon, Florian Luca   +3 more
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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

Some properties of sums involving pell numbers [PDF]

, 2006
In this note we prove that for all positive integers n, the sum S 4n+1 of the first 4n + 1 Pell numbers is a perfect square. As a consequence, an identity involving binomial coefficients and Pell numbers is given.
Díaz-Barrero, José Luis, Falcón Santana, Sergio   +1 more
core  

On the Gaussian modified pell numbers [PDF]

, 2019
Özel sayı dizileri ve bu dizilerin genelleştirilmeleri birçok yazar tarafından incelenmiştir. Bu tezin amacı Gauss modified Pell sayı dizisini tanımlamak ve birtakım özelliklerini belirlemektir.
Karaaslan, Nusret
core  

Incomplete k-Pell, k-Pell-Lucas and Modified k-Pell Numbers

Hacettepe Journal of Mathematics and Statistics, 2016
In this paper, it is defined the incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
openaire   +2 more sources