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Python | sympy.subfactorial() method

Last Updated : 14 Jul, 2019
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With the help of sympy.subfactorial() method, we can find the Subfactorial of a number in SymPy. Subfactorial of a number is given by -
!n = \begin{cases} 1 & n = 0 \\ 0 & n = 1 \\ (n-1)(!(n-1) + !(n-2)) & n > 1 \end{cases}
Syntax: subfactorial(n) Parameter: n - It denotes the number whose subfactorial is to be calculated. Returns: Returns the subfactorial of number, i. e., n.
Example #1: Python3
# import sympy 
from sympy import * 

n = 4
print("Value of n = {}".format(n))
 
# Use sympy.subfactorial() method 
subfactorial_n = subfactorial(n)  
    
print("Subfactorial of n : {}".format(subfactorial_n))  
Output:
Value of n = 4
Subfactorial of n : 9
Example #2: Python3
# import sympy 
from sympy import * 

n = 9
print("Value of n = {}".format(n))
 
# Use sympy.subfactorial() method 
subfactorial_n = subfactorial(n)  
    
print("Subfactorial of n : {}".format(subfactorial_n))  
Output:
Value of n = 9
Subfactorial of n : 133496

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