Results 181 to 190 of about 1,668,226 (212)

Minmax Sequences for Pell Numbers

1996
Roots of the quadratic equation $$ {x^2} - 2x - 1 = 0 $$ (1.1) are $$ \left\{ {\begin{array}{*{20}{c}} {\alpha = 1 + \sqrt 2 } \\ {\beta = 1 - \sqrt 2 } \end{array}} \right. $$ (1.2) so that $$ \alpha + \beta = 2,\alpha \beta = - 1,\alpha - \beta = 2\sqrt 2 $$ (1.3) .
openaire   +1 more source

A Formula for the Pell Sequence: 10663

The American Mathematical Monthly, 2000
Emeric Deutsch, Harris Kwong, Cecil C. Rousseau, Paul K. Stockmeyer   +3 more
openaire   +2 more sources

The Pell-circulant sequences and their applications

2016
Maejo International Journal of Science and Technology, 10 ...
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The Pell Sequences in Finite Groups

2015
In this paper, we study the generalized order-k Pell sequences modulo m and the generalized order-k Pell sequences in finite groups. Also, we obtain the periods of the generalized order-k Pell sequences in the dihedral group D-n.
DEVECİ, ÖMÜR, KARADUMAN, Erdal
openaire   +1 more source

Integration and Derivative Sequences for Pell and Pell-Lucas Polynomials

The Fibonacci Quarterly, 1994
A. F. Horadam, B. Swita, P. Filipponi
openaire   +1 more source

The Generalized Order k–Pell Sequences in Some Special Groups of Nilpotency Class 2

Communications in Algebra, 2022
exaly  

A Type of Public Cryptosystem Using Polynomials and Pell Sequences

Journal of Discrete Mathematical Sciences and Cryptography, 2022
exaly  

On Generating Tridiagonal Matrices of Generalized (s,t)-Pell, (s,t)-Pell Lucas and (s,t)-Modified Pell Sequences

Earthline Journal of Mathematical Sciences, 2021
exaly  

Diophantine Triplets and the Pell Sequence

The Fibonacci Quarterly, 2001
M. N. Deshpande, Ezra Brown
openaire   +1 more source

A Primer on the Pell Sequence and Related Sequences

The Fibonacci Quarterly, 1975
openaire   +1 more source