For $Dr$ Racket Beginner Student ;; factorial: Nat $->$ Nat

$($define $($factorial n$)$

$($cond

$[($zero$?$ n$)1]$

$[$else $(*$ n $($factorial $($sub$1$ n$)))]))$The th Catalan number, $,$ can be defined as $(2$n$)!/(($n $+1)!$

Assuming that the function factorial is already defined as above, write a function catalan that consumes a natural number n and produces the th Catalan number.;; catalan: Nat $->$ Nat

$($define $($catalan n$)$

$...)$