The $n=3$'rd Catalan number ([A000108](http://oeis.org/A000108)) is $1,2,5$: $\frac{\binom{2n}{n}}{n+1}=\frac{\binom{6}{3}}{4}=\frac{20}{4}=$ ***5***.

The $n=4$'th Fibonacci number ([A000045](http://oeis.org/A000045)) is $1,1,2,3,5,...$: ***5***.

> ***Q***. Which other Fibonacci numbers (besides $\{1,2,5\}$) are also Catalan numbers?

There seems to be no other "small" solutions, at least up to Fibonacci/Catalan numbers
around $10^{60}$.