Results 71 to 80 of about 55,776 (203)

On k-Pell hybrid numbers

open access: yesJournal of Discrete Mathematical Sciences and Cryptography, 2019
AbstractThe 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.
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Pell numbers with the Lehmer property [PDF]

open access: green, 2016
Bernadette Faye, Florian Luca
openalex   +1 more source

Pell Form and Pell Equation via Oblong Numbers

open access: yes, 2013
2010 Mathematics Subject Classification: 11D09, 11D25, 11D41, 11D72, 11E16, 11E18.
Tekcan, Ahmet, Özkoç, Arzu
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On Mixed $b$-concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers

open access: yesMathematica Pannonica
Let $(P_n)_{n\ge 0}$ and $(Q_n )_{n\ge 0}$ be the Pell and Pell-Lucas sequences. Let $b$ be a positive integer such that $b\ge 2.$ In this paper, we prove that the following two Diophantine equations $P_{n}=b^{d}P_{m}+Q_{k}$ and $P_{n}=b^{d}Q_{m}+P_{k}$ with $d,$ the number of digits of $P_k$ or $Q_k$ in base $b,$ have only finitely many solutions in ...
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