output_description: Print N lines. The i-th line should contain the value f(i).
  
  * * *
input_description: Input is given from Standard Input in the following format:
  
      
      
      N
attempt: input_number = input()
  for n in range(int(input_number)):
  	n += 1
  	count = 0
  	for x in range(100):
  		for y in range(100):
  			for z in range(100):
  				function = x*x+y*y+z*z+x*y+y*z+x*z
  				if n == function:
  					count += 1
  	print(count)
problem_description: Statement
  
  Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the
  following conditions:
  
    * 1 \leq x,y,z
    * x^2 + y^2 + z^2 + xy + yz + zx = n
  
  Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
samples: [{"input": "20", "output": "0\n    0\n    0\n    0\n    0\n    1\n    0\n    0\n    0\n    0\n    3\n    0\n    0\n    0\n    0\n    0\n    3\n    3\n    0\n    0\n    \n\n  * For n=6, only (1,1,1) satisfies both of the conditions. Thus, f(6) = 1.\n  * For n=11, three triples, (1,1,2), (1,2,1), and (2,1,1), satisfy both of the conditions. Thus, f(6) = 3.\n  * For n=17, three triples, (1,2,2), (2,1,2), and (2,2,1), satisfy both of the conditions. Thus, f(17) = 3.\n  * For n=18, three triples, (1,1,3), (1,3,1), and (3,1,1), satisfy both of the conditions. Thus, f(18) = 3."}]