Results 61 to 70 of about 1,240,285 (142)
Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results
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]
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
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]
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
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Tongxing Li +5 more
wiley +1 more source
Networked Systems with Incomplete Information
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015.
Zidong Wang +4 more
wiley +1 more source
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
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
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
We prove some identities for the squares of generalized Tribonacci numbers. Various summation identities involving these numbers are derived.
openaire +2 more sources

