Results 61 to 70 of about 189 (146)

Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers

open access: yes, 2018
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
openaire   +3 more sources

Some identities constructed by means of the generating functıons of tribonacci and lucas numbers

open access: yes, 2020
Birçok çalışmadan faydalanarak oluşturulan bu tez toplam dört bölümdür. Giriş bölümü olan ilk bölümde tezin başlığında yer alan Lucas ve Tribonacci sayı dizilerinin de bulunduğu özel sayı dizileri ile ilgili genel bilgiler ve bu özel sayı dizilerinin ...
Namlı, Esra
core  

Squares of Tribonacci numbers

open access: yes, 2018
We prove some identities for the squares of generalized Tribonacci numbers. Various summation identities involving these numbers are derived.
openaire   +2 more sources

On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number

open access: yes, 2018
In this paper, we study the spectral norms of the geometric circulant matrices T-r* = Ctirc,*(T-0, T-1, . . . ,Tn-1) and the symmetric geometric circulant matrices STr* = SCirc(r)* (T-0, T-1, . . .
TUĞLU, NAİM, KIZILATEŞ, CAN
core   +1 more source

Powers in a class of A-strict standard episturmian words

open access: yes, 2007
This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determine all integer powers occurring in such infinite words, extending recent ...
Glen, Amy, Glen, A.
core   +1 more source

On the intersection of two distinct $k$-generalized Fibonacci sequences [PDF]

open access: yes, 2011
summary:Let $k\geq 2$ and define $F^{(k)}:=(F_n^{(k)})_{n\geq 0}$, the $k$-generalized Fibonacci sequence whose terms satisfy the recurrence relation $F_n^{(k)}=F_{n-1}^{(k)}+F_{n-2}^{(k)}+\cdots + F_{n-k}^{(k)}$, with initial conditions $0,0,\dots ,0,1$
Marques, Diego, Max A. Alekseyev
core   +1 more source

A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this review article, we study the recent investigations on the forms of solutions of systems difference equations and difference equations in terms of well-known integer sequences such as Fibonacci numbers, Padovan numbers.
İnci Okumuş, Yüksel Soykan
doaj  

The numbers of repeated palindromes in the Fibonacci and Tribonacci words

open access: yesDiscrete Applied Mathematics, 2017
The Fibonacci word \(F\) is the fixed point beginning with \(a\) of the morphism \(\sigma(a)=ab\) and \(\sigma(b)=a\). Similarly, the Tribonacci word \(T\) is the fixed point beginning with \(a\) of the morphism \(\tau(a)=ab\), \(\tau(b)=ac\) and \(\tau(c)=a\). Let \(F[1, n]\) (resp. \(T[1, n]\)) be the prefix of \(F\) (resp. \(T\)) of length \(n\).
Yuke Huang, Zhiying Wen
openaire   +1 more source

Generalized sequences and k-independent sets in graphs

open access: yes, 2010
In this paper we give a generalization of known sequences and then we give their graph representations. We generalize Fibonacci numbers, Lucas numbers, Pell numbers, Tribonacci numbers and we prove that they are equal to the total number of k-independent
Iwona Włoch   +3 more
core   +1 more source

Multiset rewriting over Fibonacci and Tribonacci numbers

open access: yesJournal of Computer and System Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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