import doctest
def palindromic_squares(n = 100000000):
"""
creates a list of all the palindromical
square numbers less than n
>>> {1, 4, 9, 121, 484, 676, 10201} <= set(palindromic_squares(1000000000000))
True
"""
counter = 1
squared = 1
palindrome_list = []
while squared < n:
s = str(squared)
if s == s[::-1]:
palindrome_list.append(squared)
counter += 1
squared = counter * counter
return palindrome_list