Catalan numbers are a sequence of integers that arise from many counting problems in combinatorics. The n- th Catalan number, Cr is given by (21)! Cn 72!(n+1)! The first few Catalan numbers are: Co=1 C=1 C2= 2 C3-5 C4 = 14 Cs = 42 For this problem, your task is to define a function, catalan that takes as an argument the integer n and returns the n-th Catalan number (Cr). The function skeleton is already provided in the code box below. Once you have defined your function call your function with n=5 and store the result in a variable called cs. Note, your function will be tested with other values of n, so you cannot do the math elsewhere, it must be fully contained in the function. Your code snippet should define the following variables: Name Type function catalan Description function to compute n-th Catalan number 5th Catalan number c5 int