Repdigits as sums of three Padovan numbers

Let $\{P_{n}\}_{n\geq 0}$ 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 $n\geq 0$. In this paper, we find all repdigits in base $10$ which can be written as a sum of three Padovan numbers.