Results 61 to 70 of about 1,240,285 (142)

Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
Zeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. In this paper, we applied the linear forms in logarithms to the Zeckendorf representation of the Tribonacci-Lucas sequences to find ...
Ousseni Awaou Lare   +2 more
doaj   +1 more source

On Four Special Cases of Generalized Tribonacci Sequence: Tribonacci-Perrin, modified Tribonacci, modified Tribonacci-Lucas and adjusted Tribonacci-Lucas Sequences [PDF]

open access: yes, 2020
In this paper, we investigate four new special cases, namely, Tribonacci-Perrin, modified Tribonacci, modified Tribonacci-Lucas, adjusted Tribonacci-Lucas sequences, of the generalized Tribonacci sequences.
Soykan, Yüksel
core   +2 more sources

Minimal weight expansions in Pisot bases

open access: yesJournal of Mathematical Cryptology, 2008
For applications to cryptography, it is important to represent numbers with a small number of non-zero digits (Hamming weight) or with small absolute sum of digits.
Frougny Christiane, Steiner Wolfgang
doaj   +1 more source

On Partial Sum of Tribonacci Numbers [PDF]

open access: yes, 2020
We study the sum ( , ) = ∑ =0 + of step apart Tribonacci numbers for any 1 ≤ ≤ . We prove that ( , ) satisfies certain −3 + with integers , , , and
Jiin Jo, Eunmi Choi
core  

Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales

open access: yes, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Tongxing Li   +5 more
wiley   +1 more source

Networked Systems with Incomplete Information

open access: yes, 2015
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Zidong Wang   +4 more
wiley   +1 more source

Generating Functions of Binary Products of Tribonacci and Tribonacci Lucas Polynomials and Special Numbers

open access: yesEarthline Journal of Mathematical Sciences, 2022
In this paper, we introduce a new operator defined in this paper, we give some new generating functions of binary products of Tribonacci and Tribonacci Lucas polynomials and special numbers.
Hind Merzouk   +2 more
openaire   +2 more sources

Incomplete tribonacci numbers and polynomials

open access: yes, 2020
We define the incomplete tribonacci sequence of numbers and polynomials. We study recurrence relations, some properties of these numbers and polynomials, and the generating function of the incomplete tribonacci ...
José L Ramírez, Víctor F Sirvent
core  

The k-Tribonacci Matrix and the Pascal Matrix

open access: yesJambura Journal of Mathematics
This article discusses the relationship between the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn, by first constructing the k-Tribonacci matrix and then looking for its inverse.
Sri Gemawati   +2 more
doaj   +1 more source

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

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