# Python | sympy.partition() method

With the help of sympy.partition() method, we can find Partition number in SymPy.



 partition(n) - 


The Partition numbers are a sequence of integers pn that represent the number of distinct ways of representing n as a sum of natural numbers (with order irrelevant). The generating function for pn is given by – .

Syntax: partition(n)

Parameter:
n – It denotes the number upto which partition number is to be calculated.

Returns: Returns the nth partition number.

Example #1:

 # import sympy   from sympy import *     n = 7 print("Value of n = {}".format(n))      # Use sympy.partition() method   nth_partition = partition(n)           print("Value of nth partition number : {}".format(nth_partition))

Output:

Value of n = 7
Value of nth partition number : 15


Example #2:

 # import sympy   from sympy import *     n = 10 print("Value of n = {}".format(n))      # Use sympy.partition() method   n_partition = [partition(x) for x in range(1, 11)]           print("N partition number are : {}".format(n_partition))

Output:

Value of n = 10
N partition number are : [1, 2, 3, 5, 7, 11, 15, 22, 30, 42]

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