
    Design a function for a patient monitoring system that analyzes sequences of vital sign readings, where each reading is either normal (0) or abnormal (1), to identify potential health complications. Given n time intervals, determine how many possible sequences of 2n consecutive readings exist where the count of abnormal readings in the first n intervals equals the count in the last n intervals. The sequences meeting this criteria could indicate recurring patterns in patient vitals that warrant medical attention.
    

    
def count_binary_seq(n):
    """
    Design a function for a patient monitoring system that analyzes sequences of vital sign readings, where each reading is either normal (0) or abnormal (1), to identify potential health complications. Given n time intervals, determine how many possible sequences of 2n consecutive readings exist where the count of abnormal readings in the first n intervals equals the count in the last n intervals. The sequences meeting this criteria could indicate recurring patterns in patient vitals that warrant medical attention.
    

    """
def count_binary_seq(n):
    """
    Design a function for a patient monitoring system that analyzes sequences of vital sign readings, where each reading is either normal (0) or abnormal (1), to identify potential health complications. Given n time intervals, determine how many possible sequences of 2n consecutive readings exist where the count of abnormal readings in the first n intervals equals the count in the last n intervals. The sequences meeting this criteria could indicate recurring patterns in patient vitals that warrant medical attention.
    

    """
    nCr = 1
    res = 1
    for r in range(1, n + 1):
        nCr = nCr * (n + 1 - r) / r
        res += nCr * nCr
    return res