On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with balancing, Lucas-balancing, incomplete balancing, and incomplete Lucas-balancing numbers are explored, and some new identities are provided. Moreover, the functions for generating the incomplete Edouard and incomplete Edouard–Lucas numbers are stated.
Authors
- Paula Catarino (ORCID: https://orcid.org/0000-0001-6917-5093)
- Eudes Antônio Costa (ORCID: https://orcid.org/0000-0001-6684-9961)
- Elen Viviani Pereira Spreafico (ORCID: https://orcid.org/0000-0001-6079-2458)
Institutions
- Universidade Federal de Mato Grosso do Sul (BR)
- University of Trás-os-Montes and Alto Douro (PT)
- Universidade Federal do Tocantins (BR)
Publication Details
- Journal
- Mathematics
- Published
- 2024-10-26
- DOI
- https://doi.org/10.3390/math12213357
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00