Results 131 to 140 of about 2,413 (223)

Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The uniqueness of the sum of the elements of finite subsets of the odd oreven indexed Fibonacci and Lucas sequences are proved. Moreover, it is shownthat the odd or even indexed Fibonacci and Lucas sequences are superincreasingsequences.
Alparslan Kargın, Emre Kişi, Halim Özdemir   +2 more
doaj  

Visualization of Metallic Sequences and its Extensions: A Combinatorial approach Via Board and Tiles

REDIMAT
The study of recurring numerical sequences interests numerous researchers in several countries. We observe that, with a historical legacy from the Fibonacci and Lucas sequences, numerous ways of approaching and generalizing these and other sequences ...
Francisco Regis Vieira Alves, Maria Graciene Moreira Dos Santos, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

Unique Properties of the Fibonacci and Lucas Sequences

, 2017
The algebraic structure of the set of all Fibonacci-like sequences, which includes the Fibonacci and Lucas sequences, is developed, utilizing an isomorphism between this set and a subset of the 2 by 2 integer matrices.
Parry, Stephen
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Generalised Fibonacci Sequences under Modular Arithmetic

, 2020
In this paper, we find patterns and count the number of distinct generalised Fibonacci sequences under modular arithmetic. We will start with the repetition of the normal Fibonacci sequence modulo an integer, m, where m is greater than or equal to two ...
Riddlesden, Connor
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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  

Formulas for Fibonacci-Like Sequences Produced by Pascal-Like Triangles

, 2017
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fibonacci sequence. We constructed Pascal-like triangles using probabilities of a game, and these Pascal-like triangles can be considered generalizations ...
Matsui, Hiroshi, Yamauchi, Toshiyuki
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Generalized bi-periodic Fibonacci sequences and their matrix representations

, 2022
Bu tez beş bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde, Fibonacci ve Lucas dizilerinin genelleştirilmesinden ve Horadam dizisinin temel özelliklerinden bahsedilmiştir.
Özden, Tuğba
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Fibonacci sequences in groups and semigroups.

, 2005
TEZ5543Tez (Yüksek Lisans) -- Çukurova Üniversitesi, Adana, 2005.Kaynakça (s. 41-42) var.iii, 43 s. ; 29 cm.We give a brief survey about Fibonacci length of certain metacyclic groups.
Aksoy, Selcan
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Powers in the Lucas sequence when the index is divisible by three

, 2011
In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier, López González, M. Dolores   +1 more
core  

Powers of Two in Generalized Fibonacci Sequences [PDF]

, 2012
The k−generalized Fibonacci sequence
Jhon J Bravo, Luca, Florian, Bravo, Jhon J., Florian Luca   +3 more
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