
    Given a patient's health record containing 2n binary indicators where the first n indicators represent historical health measurements and the last n indicators represent current measurements, determine the number of possible health indicator sequences where the count of concerning measurements in the patient's history equals the count of concerning measurements in their current state.
    

    
def count_binary_seq(n):
    """
    Given a patient's health record containing 2n binary indicators where the first n indicators represent historical health measurements and the last n indicators represent current measurements, determine the number of possible health indicator sequences where the count of concerning measurements in the patient's history equals the count of concerning measurements in their current state.
    

    """
def count_binary_seq(n):
    """
    Given a patient's health record containing 2n binary indicators where the first n indicators represent historical health measurements and the last n indicators represent current measurements, determine the number of possible health indicator sequences where the count of concerning measurements in the patient's history equals the count of concerning measurements in their current state.
    

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