On certain generalized Tribonacci sequence

The Tribonacci sequence {Tn}n≥0 has been extensively studied where many interesting algebraic properties were documented. In this paper, we investigate some properties of the generalized Tribonacci sequence {Hn}n≥0 and obtain the sum ∑i=0kHk. Subsequently, we study the extended family of {Hn}n≥0 nam...

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Bibliographic Details
Main Authors: Sim, Kai An, Ho, Chee Kit
Format: Conference Proceeding
Language:English
Online Access:Get full text
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Summary:The Tribonacci sequence {Tn}n≥0 has been extensively studied where many interesting algebraic properties were documented. In this paper, we investigate some properties of the generalized Tribonacci sequence {Hn}n≥0 and obtain the sum ∑i=0kHk. Subsequently, we study the extended family of {Hn}n≥0 namely {Hn′}n≥0 and found an interesting relationship between these two sequences which generalises a result by Natividad and Policarpio.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0192474