Repdigits as sums of three balancing numbers
Résumé
Let $ \{B_n\}_{n \ge 0} $ be the sequence of Balancing numbers defined by $B_0 = 0, ~B_1 = 1$, and $B_{n+2} = 6B_{n+1} − B_n$ for all $n \ge 0$. In this paper, we find all repdigits in base $10$ which can be written as a sum of three Balancing numbers.
Domaines
Théorie des nombres [math.NT]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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