code: 
  
  """simple docstring"""
  
  
  
  
  def      __SCREAMING_SNAKE_CASE		(		lowercase__   ):
  					"""simple docstring"""
  					if not isinstance(lowercase__    ,							lowercase__   ):
  										raise TypeError("recursive_lucas_number accepts only integer arguments."   )
  					if n_th_number == 0:
  										return 2
  					if n_th_number == 1:
  										return 1
  
  					return recursive_lucas_number(n_th_number - 1   ) + recursive_lucas_number(
  					    n_th_number - 2   )
  def      __SCREAMING_SNAKE_CASE		(		lowercase__   ):
  					"""simple docstring"""
  					if not isinstance(lowercase__    ,							lowercase__   ):
  										raise TypeError("dynamic_lucas_number accepts only integer arguments."   )
  					A    ,					A    =      2, 1
  					for _ in range(lowercase__   ):
  										A    ,					A    =      b, a + b
  					return a
  
  
  if __name__ == "__main__":
  	from doctest import testmod
  
  	testmod()
  	__A  :					Optional[int]												=	int(input('Enter the number of terms in lucas series:\n').strip())
  	print('Using recursive function to calculate lucas series:')
  	print(' '.join(str(recursive_lucas_number(i)) for i in range(n)))
  	print('\nUsing dynamic function to calculate lucas series:')
  	print(' '.join(str(dynamic_lucas_number(i)) for i in range(n)))
  
  
  
  
  
  
style_context: 
  
  """simple docstring"""
  
  
  
  
  def      __SCREAMING_SNAKE_CASE		(		lowercase__   ):
  					"""simple docstring"""
  					if not isinstance(lowercase__    ,							lowercase__   ):
  										raise ValueError("double_factorial() only accepts integral values"   )
  					if n < 0:
  										raise ValueError("double_factorial() not defined for negative values"   )
  					return 1 if n <= 1 else n * double_factorial(n - 2   )
  
  
  if __name__ == "__main__":
  	import doctest
  
  	doctest.testmod()
  
  
  
  
  
  