maths.special_numbers.catalan_number
====================================

.. py:module:: maths.special_numbers.catalan_number

.. autoapi-nested-parse::

   Calculate the nth Catalan number

   Source:
       https://en.wikipedia.org/wiki/Catalan_number



Functions
---------

.. autoapisummary::

   maths.special_numbers.catalan_number.catalan


Module Contents
---------------

.. py:function:: catalan(number: int) -> int

   :param number: nth catalan number to calculate
   :return: the nth catalan number
   Note: A catalan number is only defined for positive integers

   >>> catalan(5)
   14
   >>> catalan(0)
   Traceback (most recent call last):
       ...
   ValueError: Input value of [number=0] must be > 0
   >>> catalan(-1)
   Traceback (most recent call last):
       ...
   ValueError: Input value of [number=-1] must be > 0
   >>> catalan(5.0)
   Traceback (most recent call last):
       ...
   TypeError: Input value of [number=5.0] must be an integer