this needs to be answered in python

2. A natural number n is called squarefree if it has no perfect square divides n except for 1 . Write a function squarefree_list (n) which outputs a list of booleans: True if the index is squarefree and False if the index is not squarefree. For example, if you execute squarefree_list(12), the output should be [false, True, True, True, False, True, True, True, False, False, True, True, False]. Note that the False entries are located the indices 0,4,8,9,12. These natural numbers have perfect square divisors besides 1