Results 91 to 100 of about 717 (218)

Generalized Coupled Fibonacci Sequences

International Journal of Computer Applications, 2012
In the recent years, there has been much interest in development of knowledge in the general region of Fibonacci numbers and related mathematical topics. The concept of coupled Fibonacci sequences was first introduced by Atanassov, K. T. in 1985. Generalized coupled Fibonacci sequences are defined by 1 2 1 2 , 2 , 2 n n n n n n p q n and r s n     
Omprakash Sikhwal, Shweta Jain, G. P.S.Rathore   +2 more
openaire   +1 more source

Generalized Fibonacci Series Considered modulo n

, 2013
In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examiningthe so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeatitself. The theory shows that it suces to
Fransson, Jonas
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Another type of generalized fibonacci series

Semina: Ciências Exatas e Tecnológicas, 2004
The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
doaj  

Generalized Fibonacci Dynamical Systems

, 2009
In this paper we consider generalizations of dynamical systems that are based on the Fibonacci sequence. We first study stability properties of such systems for both the continuous and discrete–time case.
Balestrino, A, Zini, G., FAGIOLINI, Adriano   +2 more
core  

Generalized Fibonacci Series Considered modulo n

, 2020
In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examining the so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeat itself.
Examiner: Anders Svensson, Andrei Khrennikov, Jonas Fransson   +2 more
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Curious Generalized Fibonacci Numbers

, 2021
A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k terms are 0,…,0,1 and each term afterwards is the sum of the preceding k terms. In this paper, we find all k-Fibonacci numbers that are curious numbers (i.e.,
Carlos A. Gómez, Jose L. Herrera, Jhon J. Bravo   +2 more
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Representation of solutions of bilinear difference equations in terms of generalized Fibonacci sequences

Electronic Journal of Qualitative Theory of Differential Equations, 2014
Well-defined solutions of the bilinear difference equation are represented in terms of generalized Fibonacci sequences and the initial value. Our results extend and give natural explanations of some recent results in the literature.
Stevo Stevic
doaj   +1 more source

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2

International Journal of Mathematics and Mathematical Sciences, 2009
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj   +1 more source

ON SOME OF THE SMARANDACHE'S PROBLEMS [PDF]

, 2009
The bigger part of the problems discussed in the present book (22 in number) are related to different sequences. For each of them the form of the n-th member is determined and for all of them except 4 problems - the form of the n-th partial sum.
Atanassov, T. Krassimir
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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., Badshah, V. H., Catarino, Paula, Wani, Arfat Ahmad   +3 more
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