Results 71 to 80 of about 9,638,460 (174)
On the Generalized Fibonacci and Pell Sequences by Hessenberg Matrices
, 2010 In this paper, we consider the generalized Fibonacci and Pell Sequences and then show the relationships between the generalized Fibonacci and Pell sequences, and the Hessenberg permanents and ...
Taşcı, Dursun, Kılıç, E.
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On a Study of (s; t)-Generalized Pell Sequence and its Matrix Sequence
, 2020 First of all in this article, we consider (s; t)-type sequences suchas (s; t)-Pell sequence hPn (s; t)i, (s; t)-Pell-Lucas sequence hQn (s; t)iand (s; t)-Modified Pell sequence hRn (s; t)i.
Paula Catarino; Department of Mathematics, School of Science and Technology, University of Tras-os-Montes e Alto Douro (Vila Real Portugal). +2 more
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ON GENERALIZED LUCAS AND PELL-LUCAS SEQUENCES
, 2019 In this paper, we define the generaziled Lucas sequences and the Pell-Lucas sequences. Further we give Binet-like formulas, generating function, sums formulas and some important identities which involving the generalized Lucas and Pell-Lucas ...
Tas, Zisan Kusaksiz, TAŞCI, DURSUN
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On a new generalization of bihyperbolic Pell numbers
Annals of the Alexandru Ioan Cuza University - Mathematics, 2021 Dorota Bród +2 more
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On a study of (s, t)-generalized pell sequence and its matrix sequence
, 2019 First of all in this article, we consider (s, t)-type sequences such as (s, t)-Pell sequence hPn (s, t)i, (s, t)-Pell-Lucas sequence hQn (s, t)i and (s, t)-Modified Pell sequence hRn (s, t)i.
Halıcı, Serpil +2 more
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The generalized order-k Fibonacci–Pell sequence by matrix methods
, 2007 In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F–P sequence.
Kilic, Emrah
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On matrices with the pell, pell-lucas, k−pell and k−pell-lucas quaternions [PDF]
, 2018 In this paper, for any positive real number k, we introduce the k−Pell and k−Pell-Lucas quaternions and we consider certain matrices whose entries are Pell, PellLucas, k−Pell and k−Pell-Lucas quaternions.
Vasco, Paulo, Catarino, Paula
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A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients [PDF]
In this study, we define a new generalization of the hybrid $k$-Pell sequence consisting of hybrid numbers with generalized hybrid $k$-Pell numbers as coefficients.
Eudes Antonio Costa +2 more
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Generalized Version of the Characteristic Number of Two Simultaneous Pell's Equations
Rocky Mountain Journal of Mathematics, 2006 Given the integers \(D,N\), where \(D\) is positive and not a perfect square, it is a well known classical fact that all integer solutions \((U,V)\) of the equation \(U^2-DV^2=N\) are obtained by means of the relation \(U_n+V_n\sqrt{D}=(u+v\sqrt{D})(a+b\sqrt{D})^n\), where \((a,b)\) is the fundamental solution of the Pell equation \(x^2-Dy^2=1\), while
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On concatenations of two $k$-generalized Pell numbers
We study the concatenation of two $k$-generalized Pell numbers. More precisely, we determine all solutions of the equation $P_n^{(k)} = P_m^{(k)} \cdot 10^{d} + P_p^{(k)}$, where $d$ is the number of decimal digits of $P_p^{(k)}$. We prove that for $k \ge 3$ there are no solutions, while for $k = 2$ the only solution is $P_4 = 12 = 1\|2$.
Deme, Cherif B. +3 more
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