Some new and old Gibonacci identities

Mahanta, Pankaj Jyoti and Saikia, Manjil 2022. Some new and old Gibonacci identities. Rocky Mountain Journal of Mathematics 52 (2) , pp. 645-665. 10.1216/rmj.2022.52.645

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Abstract

We present different combinatorial interpretations of Lucas and Gibonacci numbers. Using these interpretations, we prove several new identities and simplify the proofs of several known identities. Some open problems are discussed towards the end of the paper.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Rocky Mountain Mathematics Consortium
ISSN:	0035-7596
Date of First Compliant Deposit:	18 July 2022
Date of Acceptance:	21 July 2021
Last Modified:	17 Nov 2023 19:33
URI:	https://orca.cardiff.ac.uk/id/eprint/151220

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