Results 141 to 150 of about 218 (162)

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

Integral representations of the Pell and Pell-Lucas numbers

Journal of Science and Science Education, 7, 2, 272 ...
openaire   +1 more source

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, Erduvan, Fatih, Keskin, Refik, Keskin, Refik   +3 more
openaire   +1 more source

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Chaos, Solitons and Fractals, 2021
Engin Özkan, Songul Çelik
exaly  

Repdigits base b as products of two Pell numbers or Pell–Lucas numbers

Boletin De La Sociedad Matematica Mexicana, 2021
Fatih Erduvan, Zafer Siar, Refik Keskin   +2 more
exaly  

Inverse tangent series involving pell and pell-lucas polynomials

Mathematica Slovaca, 2022
Dongwei Guo, Wenchang Chu
exaly  

Pell and Pell-Lucas numbers with applications

Choice Reviews Online, 2015
openaire   +1 more source