Results 121 to 130 of about 613 (205)

Some Subsequences of the Generalized Fibonacci and Lucas Sequences

, 2015
We derive first-order nonlinear homogeneous recurrence relations for certain subsequences of generalized Fibonacci and Lucas sequences.
Kılıç, Emrah, Kılıç, Elif Tan
core  

On the connections between Fibonacci and Mulatu Numbers

Intermaths
In this work, we present a detailed study of the Fibonacci--Mulatu sequence, {FMn}, defined recursively by FMn+2=FMn+1+FMn with initial terms FM0 = 4 and FM1 = 1.
Eudes Antonio Costa, Élis Gardel da Costa Mesquita, Paula M. M. C. Catarino   +2 more
doaj   +1 more source

On the sums of Fibonacci and Lucas sequences or the art of cancelling $1−x$

Elemente der Mathematik, 2017
The author establishes the identity \[ \sum_{k=0}^n m^kL-k + (m-2) \sum_{k=0}^{n+1} m^{k-1} F_k = m^{n+1} F_{n+1}, \] for nonnegatiev integer \(n\) and real \(m>0\), \(F_n\), \(L_n\) denote the Fibonacci numbers and Lucas numbers, thereby generalizing previous Fibonacci-Lucas relations of Sury and Marques.
openaire   +1 more source

Analytical Characterization of Self-Similarity in k-Cullen Sequences Through Generating Functions and Fibonacci Scaling

Fractal and Fractional
In this study, we define the k-Cullen, k-Cullen–Lucas, and Modified k-Cullen sequences, and certain terms in these sequences are given. Then, we obtain the Binet formulas, generating functions, summation formulas, etc.
Hakan Akkuş, Bahar Kuloğlu, Engin Özkan   +2 more
doaj   +1 more source

Construction of helices from Lucas and Fibonacci sequences

, 2017
By means of two complex-valued functions (depending on an integer parameter P>=1) we construct helices of integer ratio R>=1 related to the so-called Binet formulae for P-Lucas and P-Fibonacci sequences. Based on these functions a new map is defined and we show that its three-dimensional representation is also a helix.
openaire   +2 more sources

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
core  

KmerKeys: a web resource for searching indexed genome assemblies and variants. [PDF]

Nucleic Acids Res, 2022
Pavlichin DS, Lee H, Greer SU, Grimes SM, Weissman T, Ji HP.   +5 more
europepmc   +1 more source

Genelleştirilmiş Fibonacci ve Lucas dizileri ve bazı uygulamaları

, 2010
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Demirtürk, Bahar
core  

Global Behavior of Solutions to a Higher-Dimensional System of Difference Equations with Lucas Numbers Coefficients

Mathematical and Computational Applications
In this paper, we derive the well-defined solutions to a θ-dimensional system of difference equations. We show that, the well-defined solutions to that system are represented in terms of Fibonacci and Lucas sequences.
Messaoud Berkal, Juan Francisco Navarro, Raafat Abo-Zeid   +2 more
doaj   +1 more source

On the periods of bi-periodic Fibonacci and bi-periodic Lucas sequences

, 2017
Bu tez çalışmasında k-Lucas dizisi için Pisano periyodu ve bu periyot ile ilgili özellikler verilmiştir. Ayrıca k-Fibonacci ile k-Lucas dizilerinin 2^n moduna göre periyotları incelenmiştir.
Kızılırmak, Gül Özkan
core