Results 1 to 10 of about 263 (131)

A Note on Generalized Hybrid Tribonacci Numbers [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
doaj   +4 more sources

On Partial Sum of Tribonacci Numbers [PDF]

International Journal of Mathematics and Mathematical Sciences, 2015
We study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ.
Eunmi Choi, Jiin Jo
doaj   +4 more sources

Tribonacci numbers that are concatenations of two repdigits [PDF]

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
Let $ (T_{n})_{n\ge 0} $ be the sequence of Tribonacci numbers defined by $ T_0=0 $, $ T_1=T_2=1$, and $ T_{n+3}= T_{n+2}+T_{n+1} +T_n$ for all $ n\ge 0 $. In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two ...
Mahadi Ddamulira
exaly   +7 more sources

Incomplete Tribonacci–Lucas Numbers and Polynomials [PDF]

Advances in Applied Clifford Algebras, 2014
In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function
Nazmiye Yilmaz
exaly   +4 more sources

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
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Tribonacci Numbers and Some Related Interesting Identities [PDF]

Symmetry, 2019
The main purpose of this paper is, by using elementary methods and symmetry properties of the summation procedures, to study the computational problem of a certain power series related to the Tribonacci numbers, and to give some interesting identities for these numbers.
Shujie Zhou, Li Chen
exaly   +3 more sources

Repdigits as Product of Fibonacci and Tribonacci Numbers [PDF]

Mathematics, 2020
In this paper, we study the problem of the explicit intersection of two sequences. More specifically, we find all repdigits (i.e., numbers with only one repeated digit in its decimal expansion) which can be written as the product of a Fibonacci by a ...
Dušan Bednařík, Eva Trojovská
doaj   +3 more sources

Summing Formulas for Generalized Tribonacci Numbers

Universal Journal of Mathematics and Applications, 2020
In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results.
Yüksel Soykan
doaj   +5 more sources

Tribonacci and Tribonacci-Lucas Sedenions

Mathematics, 2019
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.
Yuksel Soykan
exaly   +3 more sources

IDENTITIES INVOLVING TRIBONACCI NUMBERS

Journal of the Chungcheng Mathematical Society, 2015
The kt + r subscripted tribonacci numbers will be ex- pressed by three k step apart tribonacci numbers for any 0 < r < k 2Z.
Eunmi Choi
exaly   +3 more sources