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

Syntax: partition(n) Parameter: n – It denotes the number upto which partition number is to be calculated. Returns: Returns the n^th 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]