Results 1 to 10 of about 3,260,729 (219)
On a generalization of the Pell sequence [PDF]
Mathematica Bohemica, 2021 The Pell sequence $(P_n)_{n=0}^{\infty}$ is the second order linear recurrence defined by $P_n=2P_{n-1}+P_{n-2}$ with initial conditions $P_0=0$ and $P_1=1$.
Bravo, J. +5 more
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On perfect powers in k-generalized pell sequence [PDF]
Mathematica Bohemica, 2022 Let k 2 and let (P(k) n )n>2-k be the k-generalized Pell sequence defined byP(k) n = 2P(k) n-1 + P(kn-2) + ... + P(k) n-kfor n 2 with initial conditionsP(k) -(k-2)= P(k-(k) -3)= ...
Keskin, Refik +2 more
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On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence [PDF]
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2022 In this study, the Gaussian quadra Fibona-Pell sequence is proposed and examined. The quadra Fibona-Pell sequence is first extended to define the Gaussian quadra Fibona-Pell sequence.
Faruk Kaplan +3 more
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Communications in Algebra, 2018 © 2018, © 2018 Taylor & Francis. In this paper, we define the quaternion-Pell sequence and derive the generating matrix of the sequence. Then we produce the semigroups using the multiplicative orders of the generating matrix of the quaternion-Pell ...
Omur Deveci, Anthony G Shannon
exaly +4 more sources
Gaussian modified pell sequence and gaussian modified pell polynomial sequence [PDF]
Aksaray University Journal of Science and Engineering, 2018 In this paper, we first define the Gaussian modified Pell sequence, for n ≥ 2, by the relation = 2 + with initial conditions = 1 ─ i and = 1 + i.
Yağmur, Tülay +3 more
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Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2017 Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics ...
Wani, A. A. +5 more
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GENERALIZATION OF PELL SEQUENCE AND PELL-LUCAS SEQUENCE, NEW RESULTS AND CIRCULANT MATRICES ASPECTS [PDF]
Facta Universitatis, Series: Mathematics and InformaticsSome generalizations of Pell sequence and Pell-Lucas sequence, namely, (k,h)-Pell sequence and (k,h)-Pell-Lucas sequence are considered in this paper. We obtain generating functions, some identities and formulas for the sums of a finite number of terms ...
Jafari Petroudi, Seyyed Hossein +1 more
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A new member of the Pell sequences: The pseudo-Pell sequence
Studia Universitatis Babes-Bolyai MatematicaIn this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers.
GÖKBAŞ, Hasan
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Catalan transform of the k-Pell, k-Pell–Lucas and modified k-Pell sequence [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 In this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell–Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences.
Merve Taştan, E. Özkan
semanticscholar +2 more sources
Binomial Transform of the Generalized Third Order Pell Sequence
Communications in Mathematics and Applications, 2021 In this paper, we define the binomial transform of the generalized third order Pell sequence and as special cases, the binomial transform of the third order Pell, third Order Pell-Lucas and modified third order Pell sequences will be introduced.
Yüksel Soykan
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