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Python | sympy.partition () method

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section (n) —

Section numbers are a sequence of integers p n, which represent the number of different ways of representing n as a sum of natural numbers (with no important order). The generating function for p n is defined as — 
,

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 = {}" . f ormat (n))

 
# Use the sympy.partition () method

nth_partition = partition (n) 

 

print ( "Value of nth partition number: {}" . format (nth_partition)) 

Exit :

 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 the sympy.partition () method

n_partition = [partition (x) for x in range ( 1 , 11 )] 

 

print < code class = "plain"> ( "N partition number are: {}" . format (n_partition)) 

Exit :

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

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