Results 11 to 20 of about 263 (131)
Unrestricted Tribonacci and Tribonacci–Lucas quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We define a generalization of Tribonacci and Tribonacci–Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci–Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions.
Gonca Kızılaslan, Leyla Karabulut
doaj +2 more sources
ITM Web of Conferences, 2020 Special numbers have very important mathematical properties alongside their numerous applications in many fields of science. Probably the most important of those is the Fibonacci numbers.
Demirci Musa, Cangul Ismail Naci
doaj +2 more sources
On perfect numbers close to Tribonacci numbers [PDF]
AIP Conference Proceedings, 2018 In [1], Faco and Marques gave the conditions that even perfect numbers belonging to k-generalized Fibonacci numbers. In this paper, we present alternative proof for being even perfect numbers in Tribonacci sequence. Our methods depends on p-adic order of a Tribonacci number. Moreover, we present the perfect numbers with distance 1 to Tribonacci numbers.
Irmak, Nurettin, Acikel, Abdullah
core +6 more sources
Repdigits as Sums of Four Tribonacci Numbers
Symmetry, 2022 In this paper, we show that 66666 is the largest repdigit expressible as the sum of four tribonacci numbers. We used Binet’s formula, Baker’s theory, and a reduction method during the proving procedure. We also used the periodic properties of tribonacci number modulo 9 to deal with three individual cases.
Yuetong Zhou +3 more
openaire +2 more sources
Tribonacci and Tribonacci-Lucas numbers via the determinants of special matrices
Applied Mathematical Sciences, 2014 In this paper, by using determinants of special matrices, it has been mainly obtained Tribonacci and Tribonacci-Lucas numbers. © 2014 Nazmiye Yilmaz and Necati Taskara.
Yilmaz N., Taskara N.
openaire +2 more sources
Gaussian Generalized Tribonacci Numbers
, 2018 In this paper, we define Gaussian generalized Tribonacci numbers and as special cases, we investigate Gaussian Tribonacci and Gaussian Tribonacci-Lucas numbers with their properties.
Soykan, Yüksel +3 more
core +6 more sources
Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers [PDF]
Abstract and Applied Analysis, 2014 Circulant matrices play an important role in solving ordinary and partial differential equations. In this paper, by using the inverse factorization of polynomial of degree n, the explicit determinants of circulant and left circulant matrix involving ...
Juan Li, Zhaolin Jiang, Fuliang Lu
doaj +2 more sources
On Matrix Sequence of modified Tribonacci-Lucas Numbers
MANAS: Journal of Engineering, 2022 In this paper, we define modified Tribonacci-Lucas matrix sequence and investigate its properties.
Erkan Taşdemir +2 more
doaj +2 more sources
Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
Mathematics, 2021 In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
doaj +2 more sources
On Repdigits as Sums of Fibonacci and Tribonacci Numbers [PDF]
Symmetry, 2020 In this paper, we use Baker’s theory for nonzero linear forms in logarithms of algebraic numbers and a Baker-Davenport reduction procedure to find all repdigits (i.e., numbers with only one distinct digit in its decimal expansion, thus they can be seen as the easiest case of palindromic numbers, which are a ”symmetrical” type of numbers) that can be ...
Pavel Trojovský
openaire +2 more sources