Abstract
Let {Bn}n≥0 be the sequence of Balancing numbers defined by B0 = 0, B1 = 1, and Bn+2 = 6Bn+1 − Bn for all n ≥ 0. In this paper, we find all repdigits in base 10 which can be written as a sum of three Balancing numbers.
This research was supported by the Austrian Science Fund (FWF) projects: F5510-N26 – Part of the special research program (SFB), “Quasi-Monte Carlo Methods: Theory and Applications” and W1230 – “Doctoral Program Discrete Mathematics”.
Communicated by Milan Paštéka
Acknowledgement
The author thanks the referee for the useful comments and suggestions that greatly improved the quality of presentation of the paper.
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