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A Formula for the Pell Sequence: 10663

The American Mathematical Monthly, 2000
Emeric Deutsch   +3 more
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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

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
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Integration and Derivative Sequences for Pell and Pell-Lucas Polynomials

The Fibonacci Quarterly, 1994
A. F. Horadam, B. Swita, P. Filipponi
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Diophantine Triplets and the Pell Sequence

The Fibonacci Quarterly, 2001
M. N. Deshpande, Ezra Brown
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Extraction Problem of the Pell Sequence

The Fibonacci Quarterly, 2000
Wai-Fong Chuan, Fei Yu
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A Note on a Pell-Type Sequence

The Fibonacci Quarterly, 1979
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