A study on tridimensional Lucas-cobalancing numbers
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ISSN: 2303-4866
E-ISSN: 2303-4947
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International Mathematical Virtual Institute
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Abstract
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.
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J. Int. Math. Virtual Inst. 15, No. 1, 179-194 (2025)
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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