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Dual Leonardo numbers
- 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