Results 1 to 10 of about 189 (146)
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
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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
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Gaussian Tribonacci R-Graceful Labeling of Some Tree Related Graphs [PDF]
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
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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
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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 KIZILATEŞ +2 more
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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
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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
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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
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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
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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
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