Narayana's cows numbers which are concatenations of three repdigits in base $\rho$

Pagdame Tiebekabe, Kouèssi Norbert Adédji, Nadjime Pindra +1

Narayana's sequence is a ternary recurrent sequence defined by the recurrence relation ${\mathcal{N}}_n={\mathcal{N}}_{n-1}+{\mathcal{N}}_{n-3}$ with initial terms ${\mathcal{N}}_0=0$ and…