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Common Factors of Pell and Pell-Lucas numbers

2021
Progress in Applied Science and Technology, 11, 1, 7 ...
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Pell and Pell–Lucas Numbers

2014
Like Fibonacci and Lucas numbers, the Pell family is ubiquitous. Pell and Pell–Lucas numbers also provide boundless opportunities to experiment, explore, and conjecture; they are a lot of fun for inquisitive amateurs and professionals alike. In this chapter, we formally introduce the family, and cite their occurrences in earlier chapters, as well as ...
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.

Ars Comb., 2007
In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
Kocer, E. Gokcen, Tuglu, Naim
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On k-circulant matrices involving the Pell–Lucas (and the modified Pell) numbers

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On The Properties Of New Families Of Pell And Pell-Lucas Numbers.

Ars Comb., 2014
In this paper, new families of Pell and Pell-Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for k = 2.
Gokkaya, Havva, Uslu, Kemal
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Hessenberg matrices and the Pell-Lucas and Jacobsthal numbers

2015
There are many relationships between the number theory and matrix theory. In this work, we defined two upper Hessenberg Matrices and then we showed that the permanents of these Hessenberg matrices are Pell-Lucas and Jacobsthal numbers. © 2015 Academic Publications, Ltd.
Aktaş, İbrahim, Köse, Hasan
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AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS

Journal of Science Natural Science
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 sequences.
null Luu Ba Thang, null Nguyen Duc Sang
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On Diophantine triples from Pell and Pell-Lucas numbers

Atti della Accademia delle scienze di Torino. Classe di scienze fisiche matematiche e naturali., 2009
Proucavaju se Diofantske trojke iz Pellovih i iz Pell-Lucasevih ...
Čerin, Zvonko, Gianella, Gian Mario
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Integral representations of the Pell and Pell-Lucas numbers

Journal of Science and Science Education, 7, 2, 272 ...
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Repdıgıts As Dıfference Of Two Pell Or Pell-Lucas Numbers

2023
Abstract: Bismuth vanadate (BiVO4)-cement composites were coated on concrete surfaces, which were fabricated with differing amounts of BiVO4 (0, 20, and 40 wt%) in Portland cement. The photocatalytic methylene blue (MB) dye degradation using BiVO4 coated on concrete pellet was investigated.
Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü   +3 more
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