Results 11 to 20 of about 1,668,226 (212)

Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]

Journal of Applied Mathematics and Computational Mechanics, 2017
The main aim of the present article to introduce a generalization of Fibonacci sequence which is similar to k-Pell, k-Pell-Lucas, Modified k-Pell sequences and known as Fibonacci-Like sequence. After that we obtain some fundamental properties of Fibonacci-Like sequence such as Binet formulae of Fibonacci-Like sequence, binomial transform of the ...
Arfat Ahmad Wani, Sajad Ahmad Bhat, G.P.S. Rathore   +2 more
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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. Then we give the definition of the Gaussian modified Pell polynomial sequence, for n ≥ 2, by the relation  = 2 +  with initial conditions  = 1─ xi and  = x + i.
YAGMUR, Tulay, KARAASLAN, Nusret
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GENERALIZATION OF PELL SEQUENCE AND PELL-LUCAS SEQUENCE, NEW RESULTS AND CIRCULANT MATRICES ASPECTS [PDF]

Facta Universitatis, Series: Mathematics and Informatics
Some 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 and consecutive terms, sums of squares of consecutive terms and alternating sums of consecutive terms
Seyyed Hossein Jafari Petroudi, Maryam Pirouz   +1 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
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.
Arzu Özkoç Öztürk, Faruk Kaplan
doaj   +3 more sources

The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence [PDF]

Communications in Advanced Mathematical Sciences
In this study, we investigate a generalization of the modified Pell sequence, which is called $(s,t)$-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are $(s,t)$-modified Pell numbers.
Ozan Haklıdır, Şükran Uygun
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The quaternion-Pell sequence

Communications in Algebra, 2018
In this paper, we define the quaternion-Pell sequence and derive the generating matrix of the sequence.
Ömür Deveci, Anthony G. Shannon
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A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients [PDF]

Communications in Advanced Mathematical Sciences
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.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
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Repdigits in generalized Pell sequences [PDF]

Archivum Mathematicum, 2020
In this paper, the authors study the \(k\)-generalized Pell sequence, which starts with \(0,\ldots,0,1\) and satisfies the recurrence \(P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots+P_{n-k}^{(k)}\). They find all \(k\)-generalized Pell numbers which are repdigits, namely \(P_5^{(3)}=33\) and \(P_6^{(4)}=88\).
Bravo, Jhon J., Herrera, Jose L.
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences

Annales Mathematicae et Informaticae, 2021
Summary: In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas numbers.
Rihane, Salah Eddine, Togbé, Alain
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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. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell–Lucas sequence and the Catalan transform of the Modified
Merve Taştan, Engin Özkan
openaire   +1 more source