Repdigits as sums of three Padovan numbers.

Let { P n } n ≥ 0 be the sequence of Padovan numbers defined by P 0 = 0 , P 1 = 1 = P 2 , and P n + 3 = P n + 1 + P n for all n ≥ 0 . In this paper, we find all repdigits in base 10 which can be written as a sum of three Padovan numbers.