Results 1 to 10 of about 60 (50)

On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences [PDF]

Mathematics, 2020
In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
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Quadratic Approximation of Generalized Tribonacci Sequences

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
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On the Bicomplex Generalized Tribonacci Quaternions

Mathematics, 2019
In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant
Can Kızılateş, Paula Catarino, Naim Tuğlu   +2 more
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On generalized Tribonacci sequences and additive partitions

Discrete Mathematics, 2000
A set \(U\) of positive integers is called avoidable if there exists a partition \(A\), \(B\) of all positive integers such that no element of \(U\) is a sum of two distinct elements of \(A\) or two distinct elements of \(B\). The author investigates the avoidability of the generalized Tribonacci sequences \(T= t_i\), which are defined by recurrence ...
Ioana Dumitriu
exaly   +2 more sources

Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences [PDF]

Tamkang Journal of Mathematics, 2020
In the paper, the authors present several explicit formulas for the $(p,q,r)$-Tribonacci polynomials and generalized Tribonacci sequences in terms of the Hessenberg determinants and, consequently, derive several explicit formulas for the Tribonacci numbers and polynomials, the Tribonacci--Lucas numbers, the Perrin numbers, the Padovan (Cordonnier ...
Can Kizilates, Wei Shih Du, Feng Qi
openaire   +4 more sources

On the Smarandache-Pascal derived sequences of generalized Tribonacci numbers [PDF]

Advances in Difference Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zhengang, Li, Jianghua, Zhang, Han
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On Generalized Tribonacci Octonions

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In this paper, we introduced generalized tribonacci octonion sequence which is a generalization of third order recurrence relations. We investigate many identities which are created by using generalized tribonacci sequence.
Arzu Özkoç Öztürk
doaj   +1 more source

Research on splitting quaternions with generalized Tribonacci hybrid number components [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Generalized Tribonacci Hybrid Split Quaternion (GTHSQ), a novel split quaternion with coefficients derived from generalized Tribonacci hybrid numbers.
Yanni Yang, Yong Deng
doaj   +1 more source

On the Recurrence Properties of Generalized Tribonacci Sequence

Earthline Journal of Mathematical Sciences, 2021
In this paper, we investigate the recurrence properties of the generalized Tribonacci sequence and present how the generalized Tribonacci sequence at negative indices can be expressed by the sequence itself at positive indices.
openaire   +4 more sources

On a Generalized Tribonacci Sequence

, 2019
The well-known Tribonacci sequence is a third order recurrence sequence. In this paper, we define other generalized Tribonacci sequence and establish some properties of this sequence using matrix methods.
Yüksel Soykan, İnci Okumuş
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