Results 121 to 130 of about 1,743 (195)
On geometric progressions on Pell equations and Lucas sequence
, 2013 We consider geometric progressions on the solution set of Pell equations and give upper bounds for such geometric progressions. Moreover, we show how to find for a given four term geometric progression a Pell equation such that this geometric progression
Attila Bérczes +3 more
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Mathematical Sciences and Applications E-NotesOur motivation for this study is to define two new and particular sequences. The most essential feature of these sequences is that they are spinor sequences. In this study, these new spinor sequences obtained using spinor representations of Pell and Pell-Lucas quaternions are expressed. Moreover, some formulas such that Binet formulas, Cassini formulas
Tülay Erişir +2 more
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SOME LINKS OF BALANCING AND COBALANCING NUMBERS WITH PELL AND ASSOCIATED PELL NUMBERS
, 2014 Links of balancing and cobalancing numbers with Pell and associated Pell numbers are established. It is proved that the nth balancing number is product of the nth Pell number and the nth associated Pell number.
G. K. Panda, Prasanta Kumar Ray
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Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars
AxiomsThe Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu +3 more
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On the Pell p-circulant sequences
, 2017 In this paper, we define the generalized Pell p-circulant sequence and the Pell pcirculant sequence by using the circulant matrices which are obtained from the characteristic polynomial of the generalized Pell ( p,i)-sequence and then, we obtain ...
Shannon, AG, Aküzüm, Y, Deveci, Ö
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, 2012 Bu çalışmada Gauss Fibonacci ve Gauss Lucas sayıları gözönüne alınarak Gauss Pell, Gauss Pell-Lucas, Gauss Jacobsthal ve Gauss Jacobstal-Lucas sayıları tanımlanmış olup bu sayılarla ilgili bazı özellikler elde edilmiştir.
Özkan, Gül
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On the k-Vieta-Pell and k-Vieta-Pell-Lucas Sequences
Journal of Engineering Technology and Applied SciencesThe aim of this paper is to define the k-Vieta-Pell and k-Vieta-Pell-Lucas sequences, and some terms of these sequences are given. Then, we find the relations between the terms of the k-Vieta-Pell and k-Vieta-Pell-Lucas sequences. Also, we give the summation formulas, generating functions, etc.
Hakan Akkuş, Engin Özkan
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Generalized fibonacci and k-Pell matrix sequences
, 2019 In the present article first and foremost we define generalized Fibonacci sequence and k-Pell sequence. After that by using these sequences we delineate generalized Fibonacci matrix sequence and k-Pell matrix sequence.
Rathore, G. P. S. +3 more
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A Note on Modified $k$-Pell Hybrid Numbers
, 2020 Modified $k$-Pell hybrid sequence is defined in this paper. The Binet formula and the generating functions for modified k-Pell hybrid numbers are also presented.
Bi̇lgi̇ci̇, Göksal +1 more
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