RT Journal Article T1 A study on tridimensional Lucas-cobalancing numbers A1 Chimpanzo, José A1 Catarino, Paula A1 Otero Espinar, María Victoria A1 Costa, Eudes K1 Balancing numbers K1 Lucas-cobalancing numbers K1 Tridimensional version K1 Properties AB In 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. PB International Mathematical Virtual Institute SN 2303-4866 YR 2025 FD 2025 LK https://hdl.handle.net/10347/44148 UL https://hdl.handle.net/10347/44148 LA eng NO J. Int. Math. Virtual Inst. 15, No. 1, 179-194 (2025) NO The 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 DS Minerva RD 29 abr 2026