Good night, everyone!

According to a celebrated result by J. H. Cohn, the only perfect squares in the Fibonacci sequence are $F_{0}=0$, $F_{1}=F_{2}=1$, and $F_{12}=144$. It is also known that the only perfect squares in the Lucas numbers are $L_{1}=1$ and $L_{3}=4$.

Do you know other examples of Lucas sequences with few perfect squares among their terms? I am specially interested in examples in which the determination of the squares is more straightforward than Cohn's proof of the aforementioned theorem.

Thanks for your attention.

Good night, everyone!

According to a celebrated result by J. H. Cohn, the only perfect squares in the Fibonacci sequence are $F_{0}=0$, $F_{1}=F_{2}=1$, and $F_{12}=144$. It is also known that the only perfect squares in the Lucas numbers are $L_{1}=1$ and $L_{3}=4$.

Do you know other (interesting) examples of Lucas sequences with few perfect squares among their terms? I am specially interested in examples in which the determination of the squares is more straightforward than Cohn's proof of the aforementioned theorem.

Thanks for your attention.