Perrin numbers that are concatenations of two distinct repdigits

Herbert Batte, Taboka P. Chalebgwa, Mahadi Ddamulira

Let $(P_n{)}_{n\ge 0}$ be the sequence of Perrin numbers defined by ternary relation $P_0=3$, $P_1=0$, $P_2=2$, and $P_{n+3}=P_{n+1}+P_n$ for all $n\ge 0$. In this paper,…