maths.sylvester_sequence
========================

.. py:module:: maths.sylvester_sequence

.. autoapi-nested-parse::

   Calculates the nth number in Sylvester's sequence

   Source:
       https://en.wikipedia.org/wiki/Sylvester%27s_sequence



Functions
---------

.. autoapisummary::

   maths.sylvester_sequence.sylvester


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

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

   :param number: nth number to calculate in the sequence
   :return: the nth number in Sylvester's sequence

   >>> sylvester(8)
   113423713055421844361000443

   >>> sylvester(-1)
   Traceback (most recent call last):
       ...
   ValueError: The input value of [n=-1] has to be > 0

   >>> sylvester(8.0)
   Traceback (most recent call last):
       ...
   AssertionError: The input value of [n=8.0] is not an integer