Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts
Y\"uksel Soykan
TL;DR
This paper introduces Tribonacci and Tribonacci-Lucas matrix sequences with negative indices, exploring their properties and extending the understanding of these sequences beyond positive terms.
Contribution
It defines and analyzes Tribonacci and Tribonacci-Lucas matrix sequences with negative subscripts, a novel extension of existing sequence studies.
Findings
Properties of negative-index sequences are characterized.
Matrix representations are extended to negative indices.
New identities involving negative Tribonacci matrices are derived.
Abstract
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Fractal and DNA sequence analysis · Advanced Mathematical Identities