On the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type Sequences

Kouèssi Norbert Adédji, Marija Bliznac Trebješanin, Jelena Pleština

We study the Diophantine problem of representing a Pell or Pell--Lucas number as the base-$b$ concatenation of three other Pell or Pell--Lucas numbers. Under the condition that the…