Theoretical analysis uncovers recurrence relations and sum identities in multidimensional repunit systems, expanding the algebraic properties of repeated-unit numbers.
In this paper, we aim to introduce and investigate the bidimensional, tridimensional and k-dimensional extension of Repunit numbers, with a particular focus on their recurrence relations, key properties, and various sum identities.
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Costa et al. (2025) studied this question.
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