
    Write a function that analyzes a customer's financial activity pattern of length 2n periods, where each period is marked as successful (1) or unsuccessful (0) in meeting financial goals, and determines how many possible patterns exist where the number of successful periods in the first n months equals the number of successful periods in the last n months.
    

    
def count_binary_seq(n):
    """
    Write a function that analyzes a customer's financial activity pattern of length 2n periods, where each period is marked as successful (1) or unsuccessful (0) in meeting financial goals, and determines how many possible patterns exist where the number of successful periods in the first n months equals the number of successful periods in the last n months.
    

    """
def count_binary_seq(n):
    """
    Write a function that analyzes a customer's financial activity pattern of length 2n periods, where each period is marked as successful (1) or unsuccessful (0) in meeting financial goals, and determines how many possible patterns exist where the number of successful periods in the first n months equals the number of successful periods in the last n months.
    

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