Results 21 to 30 of about 3,260,729 (219)

Markov Triples with Generalized Pell Numbers

Mathematics, 2023
For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of
Julieth F. Ruiz, Jose L. Herrera, Jhon J. Bravo   +2 more
core   +2 more sources

Hessenberg matrices and the Pell and Perrin numbers

Journal of Number Theory, 2011
In this paper, we investigate the Pell sequence and the Perrin sequence and we derive some relationships between these sequences and permanents and determinants of one type of Hessenberg ...
Fatih Yilmaz, Durmus Bozkurt
exaly   +2 more sources

Pell and associated Pell braid sequences as GCDs of sums of $k$ consecutive Pell, balancing, and related numbers

, 2023
We consider the greatest common divisor (GCD) of all sums of $k$ consecutive terms of a sequence $(S_n)_{n\geq 0}$ where the terms $S_n$ come from exactly one of following six well-known sequences' terms: Pell $P_n$, associated Pell $Q_n$, balancing $B_n$
Schrader, Janee, Mbirika, aBa, Spilker, Jürgen   +2 more
core   +3 more sources

A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients

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.
Eudes Antonio Costa, Paula Maria Machado Cruz Catarino, Elen Viviani Pereira Spreafico   +2 more
core   +2 more sources

Matrix Representation of Bi-Periodic Pell Sequence [PDF]

Journal of Mahani Mathematical Research, 2023
In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers.
Sukran UYGUN, Ersen Akıncı
doaj   +1 more source

On k-Pell hybrid numbers

Journal of Discrete Mathematical Sciences and Cryptography, 2019
The 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. In addition, we present the Binet formula, the generating functions and some identities
Paula Catarino
exaly   +2 more sources

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.
openaire   +2 more sources

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
openaire   +4 more sources

Text Encryption Using Pell Sequence and Elliptic Curves with Provable Security

Computers Materials & Continua, 2022
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Sumaira Azhar, Naveed Ahmed Azam, Umar Hayat   +2 more
semanticscholar   +1 more source

Powers in products of terms of Pell's and Pell–Lucas Sequences [PDF]

International Journal of Number Theory, 2015
In this paper, we consider the usual Pell and Pell–Lucas sequences. The Pell sequence [Formula: see text] is given by the recurrence un= 2un-1+ un-2with initial condition u0= 0, u1= 1 and its associated Pell–Lucas sequence [Formula: see text] is given by the recurrence vn= 2vn-1+ vn-2with initial condition v0= 2, v1= 2.
Bravo, Jhon J., Das, Pranabesh, Guzmán, Sergio, Laishram, Shanta   +3 more
openaire   +2 more sources