Results 101 to 110 of about 8,726 (124)

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

Pell and Pell-Lucas Numbers Associated with Brocard-Ramanujan Equation

2017
In this paper, the diophantine equations of the form $A_{n_{1}}A_{n_{2}}\cdots A_{n_{k}}\pm 1=B_{m}^{2}$ where $(A_{n})_{n\geq 0}$ and $(B_{m})_{m\geq 0}$ are either the Pell sequence or Pell-Lucas sequence are solved by applying the Primitive Divisor Theorem. This is another version of Brocard-Ramanujan equation.
TAŞÇI, Dursun, SEVGİ, Emre
openaire   +3 more sources

On some identities and generating functions for Pell-Lucas numbers

Online Journal of Analytic Combinatorics, 2017
Generating functions for Pell and Pell-Lucas numbers are obtained. Applications are given for some results recently obtained by Mansour [Mansour12]; by using an alternative approach that considers the action of the operator \(\delta_{e_1 e_2}^k\) to the series \(\sum_{j=0}^\infty a_j (e_1 z)^j\).
openaire   +2 more sources

Integral Aspects of the Generalized Pell and Pell-Lucas Numbers

International Journal of Mathematics and Computer Science
In this paper, we propose integral representations of the one-parameter k-Pell and k-Pell-Lucas numbers. Our results are also deduced with the Pell and Pell-Lucas numbers.
Achariya Nilsrakoo, Weerayuth Nilsrakoo
openaire   +1 more source

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

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

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

Axioms, 2023
Elen Spreafico, Paula Catarino, Paulo Vasco   +2 more
exaly  

Integral representations of the Pell and Pell-Lucas numbers

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

Inverse tangent series involving pell and pell-lucas polynomials

Mathematica Slovaca, 2022
Wenchang Chu
exaly  

Pell and Pell-Lucas numbers with only one distinct digit

2015
Summary: In this paper, we show that there are no Pell or Pell-Lucas numbers larger than \(10\) with only one distinct digit.
Faye, Bernadette, Luca, Florian
openaire   +2 more sources

Pell and Pell-Lucas numbers with applications

Choice Reviews Online, 2015
openaire   +1 more source