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Dual Leonardo numbers

Authors :
Adnan Karataş
Source :
AIMS Mathematics, Vol 8, Iss 12, Pp 30527-30536 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

Abstract

This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence. Moreover, we presented a range of identities that provided deeper insights into the relationships within this numerical family, such as the Cassini and d'Ocagne identities, along with various summation formulas.

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
12
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.1f7260050c6640f3a297eac22498e0e3
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20231560?viewType=HTML