Results 141 to 150 of about 702 (172)

Fibonacci numbers in generalized Pell sequences

Mathematica Slovaca, 2020
Abstract In this paper, by using lower bounds for linear forms in logarithms of algebraic numbers and the theory of continued fractions, we find all Fibonacci numbers that appear in generalized Pell sequences. Some interesting estimations involving generalized Pell numbers, that we believe are of independent interest, are also deduced ...
Jhon J Bravo, JOSÉ L Herrera
exaly   +3 more sources

On the computing of the generalized order-k Pell numbers in log time

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bulent Altunkaynak
exaly   +4 more sources

Even perfect numbers in generalized Pell sequences

Lithuanian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jhon J Bravo, JOSÉ L Herrera, Bravo Jhon J   +2 more
exaly   +3 more sources

A generalization of generalized Fibonacci and generalized Pell numbers

International Journal of Mathematical Education in Science and Technology, 2016
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained.
W.M. Abd-Elhameed, N.A. Zeyada
openaire   +1 more source

Combinatorial interpretation of generalized Pell numbers

J. Integer Seq., 2020
Summary: In this note we give combinatorial interpretations for the generalized Pell sequence of order \(k\) by means of lattice paths and generalized bi-colored compositions. We also derive some basic relations and identities by using Riordan arrays.
Jhon J. Bravo, Jose L. Herrera, José Luis Ramírez   +2 more
openaire   +2 more sources

Generalized Identities for third order Pell Number, Pell-Lucas Number and Modified Pell Number

2020
วารสารวิทยาศาสตร์และเทคโนโลยี มทร.ธัญบุรี, 10, 1, 96 ...
openaire   +1 more source

k-Generalized Pell Numbers Which are Concatenation of Two Repdigits

Mediterranean Journal of Mathematics, 2022
Let \(\ge 2\) and let \((P_n^{(k)})_{n\ge -(k-2)}\) be the \(k\)-generalized Pell sequence defined by the recursion \(P_n^{(k)}=P_{n-1}^{(k)}+\cdots+P_{n-k}^{(k)}\) for \(n\ge 2\) with initial conditions \(0,0,\ldots,0,1\) (\(k-1\) zeros). They find all the members of this family of sequences which when written in base \(10\) are a concatenation of two
Zafer Şiar, Refik Keskin
openaire   +2 more sources

Generalized Pell Numbers and Polynomials

2004
We define sequences of generalized Pell numbers with the notation introduced by Horadam [6] $$ \left\{ {{P_{r,n}}} \right\} \equiv \left\{ {{P_{r,n}}\left( {1,\,{2^r};\,{2^r}, - 1} \right)} \right\} $$ (1.1) and by the second order recurrence relation $$ {P_{r,n}} = {2^r}{P_{r,n - 1}} + {P_{r,n - 2}},\quad n > 2 $$ (1.2) with ...
A. G. Shannon, A. F. Horadam
openaire   +1 more source

Integral Aspects of the Generalized Pell and Pell-Lucas Numbers

International Journal of Mathematics and Computer Science
In this paper, we propose integral representations of the one-parameter k-Pell and k-Pell-Lucas numbers. Our results are also deduced with the Pell and Pell-Lucas numbers.
Achariya Nilsrakoo, Weerayuth Nilsrakoo
openaire   +1 more source