Candidate X and Candidate O receive the same number (n) of votes in an election. Write a function to determine the number of ways the ballots can be counted such that X is never behind O. For example, for n = 3 there are five ways:
XXXOOO
XXOXOO
XXOOXO
XOXXOO
XOXOXO
Optional: Identify the connection between this problem and Cody Problem 42821.
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