On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences

Bibhu Prasad Tripathy, Asutosh Satapathy, Utkal Keshari Dutta +1

Let ${\mathcal{P}}_n$ be the $n$-th Padovan number, $E_n$ be the $n$-th Perrin number and $N_n$ be the $n$-th Narayana's cows number. Let $b$ be a positive integer such that $b…