On Leonardo Numbers
| dc.contributor.author | Borges, Anabela | |
| dc.contributor.author | Catarino, Paula | |
| dc.date.accessioned | 2024-05-17T08:55:02Z | |
| dc.date.available | 2024-05-17T08:55:02Z | |
| dc.date.issued | 2019-03-11 | |
| dc.description.abstract | In this paper, we consider the sequence of Leonardo numbers and we present some properties involving this sequence, including the Binet formula, and the generating function. Furthermore, Cassini’s identity, Catalan’s identity and d’Ocagne’s identity for this sequence are given. Also some expressions of sums and products involving terms of this sequence are established. © 2019, Univerzita Komenskeho. All rights reserved. | |
| dc.identifier.issn | 133603108629544 | |
| dc.identifier.uri | https://hdl.handle.net/10348/12484 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | CM - Centro de Matemática | |
| dc.rights | open access | |
| dc.subject | Author keywords Binet’s formula | |
| dc.subject | Fibonacci sequence | |
| dc.subject | Generating function | |
| dc.subject | Recurrence relation | |
| dc.subject.fos | Ciências Naturais - Matemáticas | |
| dc.title | On Leonardo Numbers | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 86 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 75 | |
| oaire.citation.title | Acta Mathematica Universitatis Comenianae | |
| oaire.citation.volume | 89 | |
| person.affiliation.name | UTAD | |
| person.affiliation.name | DMAT | |
| person.familyName | Borges | |
| person.familyName | Catarino | |
| person.givenName | Anabela | |
| person.givenName | Paula | |
| person.identifier.ciencia-id | 5211-5CE6-DB58 | |
| person.identifier.orcid | 0000-0001-6917-5093 | |
| person.identifier.scopus-author-id | 56975920300 | |
| person.identifier.scopus-author-id | 55899791800 | |
| relation.isAuthorOfPublication | 662c77e9-4a76-44ef-abdd-4edccd98a02a | |
| relation.isAuthorOfPublication | e10dad97-e7a0-4ffc-a5f2-86a779692873 | |
| relation.isAuthorOfPublication.latestForDiscovery | 662c77e9-4a76-44ef-abdd-4edccd98a02a |
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