A study on tridimensional Lucas-cobalancing numbers

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorChimpanzo, José
dc.contributor.authorCatarino, Paula
dc.contributor.authorOtero Espinar, María Victoria
dc.contributor.authorCosta, Eudes
dc.date.accessioned2025-12-01T12:47:49Z
dc.date.available2025-12-01T12:47:49Z
dc.date.issued2025
dc.description.abstractIn this paper, we aim to introduce and study the tridimensional version of Lucas-cobalancing numbers, with special emphasis on their recurrence relation, key properties, and diverse sum identities.
dc.description.peerreviewedSI
dc.description.sponsorshipThe first two authors are members of the CMAT Research Center-CMAT- UTAD. The third author is a member of the Mathematics Research Group of the University of Santiago de Compostela-USC GI 2136 and also of the Homol- ogy, Homotopy and Categorical Invariants in Groups and Non-Associative Algebras Project-PID2020 115155GB I00, within the scope of the Dynamical Systems, Ge- netic Algebras and Non-Stochastic Quadratic Operators objective. This research was partially funded by FCT-Foundation for Science and Technology, under the projects UID/00013: Mathematics Centre of the University of Minho (CMAT/UM) and this research was also partially funded by the Ministry of Science and Innova- tion, State Research Agency (Spain), under the grant PID2020-115155GB-I0 and by the Council of Education, University and Vocational Training (Council of Galicia), grant ED431C 2023/3. PROPESQ-UFT partially supported the last author
dc.identifier.citationJ. Int. Math. Virtual Inst. 15, No. 1, 179-194 (2025)
dc.identifier.doi10.7251/JIMVI2501179C
dc.identifier.essn2303-4947
dc.identifier.issn2303-4866
dc.identifier.urihttps://hdl.handle.net/10347/44148
dc.journal.titleJournal of International Mathematical Virtual Institute
dc.language.isoeng
dc.publisherInternational Mathematical Virtual Institute
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115155GB-I00/HOMOLOGIA, HOMOTOPIA E INVARIANTES CATEGORICOS EN GRUPOS Y ALGEBRAS NO ASOCIATIVAS
dc.rights.accessRightsopen access
dc.subjectBalancing numbers
dc.subjectLucas-cobalancing numbers
dc.subjectTridimensional version
dc.subjectProperties
dc.titleA study on tridimensional Lucas-cobalancing numbers
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublication2110b154-c3b5-463d-a7fa-78d2370a8b43
relation.isAuthorOfPublication.latestForDiscovery2110b154-c3b5-463d-a7fa-78d2370a8b43

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