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Python | sympy.catalan() method

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  • Last Updated : 14 Jul, 2019

With the help of sympy.catalan() method, we can find the Catalan number in SymPy. It is denoted as –

   C_n = \frac{1}{n+1} \binom{2n}{n}

Syntax: catalan(n)

Parameter:
n – It denotes the nth Catalan number.

Returns: Returns the nth Catalan number.

Example #1:




# import sympy 
from sympy import * n = 4
print("Value of n = {}".format(n))
   
# Use sympy.catalan() method 
nth_catalan = catalan(n)  
      
print("Value of nth catalan number : {}".format(nth_catalan))  

Output:

Value of n = 4
Value of nth catalan number : 14

Example #2:




# import sympy 
from sympy import * n = 15
print("Value of n = {}".format(n))
   
# Use sympy.catalan() method 
nth_catalan = catalan(n)  
      
print("Value of nth catalan number : {}".format(nth_catalan))  

Output:

Value of n = 15
Value of nth catalan number : 9694845
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