Results 201 to 210 of about 2,865 (225)

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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Common Factors of Pell and Pell-Lucas numbers

2021
Progress in Applied Science and Technology, 11, 1, 7 ...
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On k-Pell hybrid numbers

Journal of Discrete Mathematical Sciences and Cryptography, 2019
The aim of this work is to introduce a new sequence of numbers called k-Pell hybrid numbers and the presentation of some algebraic properties involving this sequence. In addition, we present the Binet formula, the generating functions and some identities
Paula Catarino
exaly   +2 more sources

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

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

A Problem of Diophantus and Pell Numbers

1998
Several Diophantine quadruples in terms of Pell numbers are constructed using general construction of Diophantine quadruples with property D(l^2).
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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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k-Pell Numbers as Product of Two Repdigits

Mediterranean Journal of Mathematics, 2022
Salah Eddine Rihane
exaly  

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

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

Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers

2015
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.
CATARİNO, Paula, CAMPOS, Helena
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