Results 91 to 100 of about 1,240,285 (142)

Computation of L ⊕ for several cubic Pisot numbers

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2007
In this article, we are dealing with β-numeration, which is a generalization of numeration in a non-integer base. We consider the class of simple Parry numbers such that d β (1) = 0.k 1 d-1  k d with d ∈ ℕ, d  ...
Julien Bernat
doaj  

On the properties of circulant matrices involving Generalized Tribonacci and Generalized Tribonacci-Lucas numbers

open access: yes, 2014
In this paper, firstly, we define the Generalized Tribonacci-Lucas numbers. In addition, by also defining circulant matrices C_{n}(G) and C_{n}(S) whose entries are Generalized Tribonacci and Generalized Tribonacci-Lucas numbers, we compute spectral norms and determinants of these matrices.
Yilmaz, Nazmiye   +2 more
openaire   +2 more sources

TRIBONACCI NUMBERS AS PRODUCTS OF TWO NARAYANA’S NUMBERS

open access: yesJP Journal of Algebra, Number Theory and Applications
Let $(N_n)_{n \ge0}$ be the Narayana’s cows sequence and $(T_n)_{n \ge0}$ the Tribonacci sequence. In this paper, we investigate Diophantine equations involving the Tribonacci sequence and the Narayana sequence. More precisely, we solve the Diophantine equations \[T_k=N_mN_n,\] \[N_k=T_mT_n.\] Using a combination of linear forms in logarithms ...
null Sémou Diouf   +2 more
openaire   +1 more source

An extended framework for bihyperbolic generalized Tribonacci numbers

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
The aim of this article is to identify and analyze a new type special number system which is called bihyperbolic generalized Tribonacci numbers (BGTN for short). For this purpose, we give both classical and several new properties such as; recurrence relation, Binet formula, generating function, exponential generating function, summation formulae ...
Nurten Gürses, Zehra İşbilir
openaire   +3 more sources

Fibonacci numbers: A population dynamics perspective. [PDF]

open access: yesHeliyon, 2019
Supriatna AK, Carnia E, Ndii MZ.
europepmc   +1 more source

Diophantine triples in linear recurrences of Pisot type. [PDF]

open access: yesRes Number Theory, 2018
Fuchs C, Hutle C, Luca F.
europepmc   +1 more source

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