Results 181 to 190 of about 15,160 (203)
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On some identities and generating functions for Pell-Lucas numbers
Online Journal of Analytic Combinatorics, 2017Generating 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 ...
A. Boussayoud
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Pell Numbers, Pell–Lucas Numbers and Modular Group
Algebra Colloquium, 2007We show that the matrix A(g), representing the element g = ((xy)2(xy2)2)m (m ≥ 1) of the modular group PSL(2,Z) = 〈x,y : x2 = y3 = 1〉, where [Formula: see text] and [Formula: see text], is a 2 × 2 symmetric matrix whose entries are Pell numbers and whose trace is a Pell–Lucas number. If g fixes elements of [Formula: see text], where d is a square-free
Q. Mushtaq, U. Hayat
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Common Factors of Pell and Pell-Lucas numbers
2021Progress in Applied Science and Technology, 11, 1, 7 ...
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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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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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On k-circulant matrices involving the Pell–Lucas (and the modified Pell) numbers
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pell and Pell–Lucas Numbers as Sums of Two Repdigits
Bulletin of the Malaysian Mathematical Sciences Society, 2020Chèfiath Adegbindin, F. Luca, A. Togbé
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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., 2009Proucavaju 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 ...openaire +1 more source
Inverse tangent series involving pell and pell-lucas polynomials
Mathematica Slovaca, 2022Dongwei Guo, Wenchang Chu
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
Axioms, 2023Elen Viviani Pereira Spreafico +2 more
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