Results 1 to 10 of about 123 (113)
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
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
Paula Catarino +2 more
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 +2 more sources
Determinant identities for toeplitz-hessenberg matrices with tribonacci entries [PDF]
Transactions on Combinatorics, 2020 In this paper, we evaluate determinants of some families of Toeplitz--Hessenberg matrices having tribonacci number entries. These determinant formulas may also be expressed equivalently as identities that involve sums of products of multinomial ...
Taras Goy, Mark Shattuck
doaj +1 more source
Gaussian Tribonacci R-Graceful Labeling of Some Tree Related Graphs
Ratio Mathematica, 2022 Let r be any natural number. An injective function , where is the Gaussian Tribonacci number in the Gaussian Tribonacci sequence is said to be Gaussian Tribonacci r-graceful labeling if the induced edge labeling such that is bijective.
K Sunitha, M Sheriba
doaj +1 more source
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 +1 more source
Kernel Words and Gap Sequences of the Tribonacci Word on an Infinite Alphabet
Mathematics, 2023 In this paper, we propose a nuanced variation in the kernel words of the tribonacci sequence. Our primary objective is to investigate the intrinsic properties of the kernel words and associated gap sequences when the tribonacci sequence is expanded over ...
Jiemeng Zhang
doaj +1 more source
Some geometric properties of the Padovan vectors in Euclidean 3-space [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Padovan numbers were defined by Stewart (1996) in honor of the modern architect Richard Padovan (1935) and were first discovered in 1924 by Gerard Cordonnier.
Serdar Korkmaz, Hatice Kuşak Samancı
doaj +1 more source
A Note on k-Bonacci Random Walks
Fractal and Fractional, 2023 In this work, the probability of return for random walks on Z, whose increment is given by the k-bonacci sequence, is determined. Additionally, the Hausdorff, packing and box-counting dimensions of the set of these walks that return an infinite number of
Najmeddine Attia +3 more
doaj +1 more source
Addition and multiplication of beta-expansions in generalized Tribonacci base [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x3 - mx2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in base β has no ...
Petr Ambrož +2 more
doaj +3 more sources