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On Pell and Pell−Lucas Hybrid Numbers
Commentationes Mathematicae, 2019In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.
Anetta Szynal-Liana, Iwona Włoch
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Generalized Identities for third order Pell Number, Pell-Lucas Number and Modified Pell Number
2020วารสารวิทยาศาสตร์และเทคโนโลยี มทร.ธัญบุรี, 10, 1, 96 ...
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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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s-PELL AND s-PELL-LUCAS NUMBERS AND THEIR PROPERTIES
Far East Journal of Mathematical Sciences (FJMS), 2017We introduce new families of s-Pell and s-Pell-Lucas numbers and establish certain identities. We also present the recurrence relations and the generating functions for a particular case. © 2017 Pushpa Publishing House, Allahabad, India.
Kirgiz H., Uslu K.
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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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Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers
2015In 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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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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2023 International Conference on Computational Science and Computational Intelligence (CSCI), 2023
Weizheng Gao +6 more
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Weizheng Gao +6 more
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
Axioms, 2023Elen Spreafico +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