print "This program will let you calculate iterations of composition of a function like f(f(f(x)))"

initial_value = float(input("What initial value for x do you want to use? "))

number_of_iterations = 5 #You can change this if you are not sure if a number 'escapes' or not, but you shouldn't need to do so.

def calc_function(x):
    return x**2 #The function value for x^2 is calculated here. You can change this function, but keep it simple!

old_value = initial_value

for i in range(number_of_iterations):
    new_value = calc_function(old_value)
    print new_value
    old_value = new_value