Results 31 to 40 of about 1,240,285 (142)

On square Tribonacci Lucas numbers

Hacettepe Journal of Mathematics and Statistics, 2021
The Tribonacci-Lucas sequence {Sn}{Sn} is defined by the recurrence relation Sn+3=Sn+2+Sn+1+SnSn+3=Sn+2+Sn+1+Sn with S0=3, S1=1, S2=3.S0=3, S1=1, S2=3. In this note, we show that 11 is the only perfect square in Tribonacci-Lucas sequence for n≢1(mod32)n≢1(mod32) and n≢17(mod96).n≢17(mod96).
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A STUDY ON THE SUMS OF SQUARES OF GENERALIZED TRIBONACCI NUMBERS: CLOSED FORM FORMULAS OF ∑_{k=0}ⁿkx^{k}W_{k}² [PDF]

, 2021
In this paper, closed forms of the sum formulas ∑_{k=0}ⁿkx^{k}W_{k}², ∑_{k=0}ⁿkx^{k}W_{k+2}W_{k} and ∑_{k=0ⁿkx^{k}W_{k+1}W_{k} for the squares of generalized Tribonacci numbers are presented.
Yüksel SOYKAN, SOYKAN, Yüksel
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Tribonacci Convolution Triangle [PDF]

, 2019
A lot has been said about the Fibonacci Convolution Triangle, but not much has been said about the Tribonacci Convolution Triangle. There are a few ways to generate the Fibonacci Convolution Triangle.
Davila, Rosa
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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
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Generalized Tribonacci Function and Tribonacci Numbers

International Journal of Recent Technology and Engineering (IJRTE), 2020
In the language of mathematics, sequence is considered to be list of numbers arranged in a particular way. A lot of sequences have been minutely studied till date. One of the most conspicuous among them is Fibonacci sequence. It is the sequence, which can be found by adding two previous terms, where the initial conditions are 0 and 1.
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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, Zuzana Masáková, Edita Pelantová   +2 more
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A note on the self-convolution of the Tribonacci sequence [PDF]

Notes on Number Theory and Discrete Mathematics
We present a simple formula for the self-convolution of the Tribonacci numbers. The resulting identity is considerably simpler than that obtained in a recent publication.
Karol Gryszka
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Computation of L_⊕ for several cubic Pisot numbers [PDF]

Discrete Mathematics & Theoretical Computer Science, 2007
In this article, we are dealing with β-numeration, which is a generalization of numeration in a non-integer base. We consider the class of simple Parry numbers such that dβ(1) = 0.k1d-1 kd with d ∈ ℕ, d ≥ 2 and k1 ≥ kd ≥ 1.
Julien Bernat
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Comment On “On some Properties of Tribonacci Quaternion”

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
This short commentary serves as a correction of the paper by Akkus and Kızılaslan [I. Akkus and G. Kızılaslan, On some Properties of Tribonacci Quaternion, An. Şt. Univ. Ovidius Constanţa, 26(3), 2018, 5–20].
Cerda-Morales Gamaliel
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The Generalized Tribonacci Numbers with Negative Subscripts

Integers, 2014
See the abstract in the attached pdf.
Kantaphon Kuhapatanakul, Lalitphat Sukruan   +1 more
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