Results 31 to 40 of about 90,584 (250)

Pell and Pell–Lucas numbers as difference of two repdigits

Afrika Matematika, 2023
to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
openaire   +2 more sources

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 the Markov equation x2+y2+z2=3xyz,
Julieth F. Ruiz, Jose L. Herrera, Jhon J. Bravo   +2 more
doaj   +1 more source

Some results on one type of graph family with some special number sequences

AKCE International Journal of Graphs and Combinatorics, 2020
In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar, A. Dilek Maden, Fatih Yilmaz   +2 more
doaj   +1 more source

The Complex-Type k-Pell Numbers and Their Applications

Journal of Mathematics, 2023
In this study, a new sequence called the complex-type k-Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums,
Yeşim Aküzüm
doaj   +1 more source

A Family of the Zeckendorf Theorem Related Identities [PDF]

, 2015
In this paper we present a family of identities for recursive sequences arising from a second order recurrence relation, that gives instances of Zeckendorf representation.
Martinjak, Ivica
core   +1 more source

The complex-type Pell p-numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm, Hüseyin Aydın, Ömür Deveci   +2 more
doaj   +1 more source

One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

Mathematics, 2021
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers.
Seda Yamaç Akbiyik, Mücahit Akbiyik, Fatih Yilmaz   +2 more
doaj   +1 more source

Security Issues of Novel RSA Variant

IEEE Access, 2022
The RSA is one of the current default cryptosystems that provides security with applications such as encryptions and digital signatures. It is important to further study the weak characteristics of the RSA to ensure correct utilisation in order not to be
Abderrahmane Nitaj, Muhammad Rezal Bin Kamel Ariffin, Nurul Nur Hanisah Adenan, Terry Shue Chien Lau, Jiahui Chen   +4 more
doaj   +1 more source

When are Multiples of Polygonal Numbers again Polygonal Numbers? [PDF]

, 2018
Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a given square-free m > 1, the relation P=mP' is satisfied by infinitely ...
Chahal, Jasbir S., Griffin, Michael, Priddis, Nathan   +2 more
core   +1 more source

A new quadra polynomial sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define a new quadra polynomial sequence by using Özkoç numbers as the coefficients. Then, we derive some properties for this polynomial sequence by the help of Fibonacci and Pell polynomials.
Emre Sevgi
doaj   +1 more source