
    Given a specific time interval n in the daily bus schedule, determine the projected increase in peak-hour ridership by calculating the n'th number in a special sequence where each value is the sum of the two preceding values (starting with 2 and 1). This passenger demand pattern follows the Lucas sequence, which helps transit planners optimize bus deployment for maximum efficiency.
    

    
def find_lucas(n):
    """
    Given a specific time interval n in the daily bus schedule, determine the projected increase in peak-hour ridership by calculating the n'th number in a special sequence where each value is the sum of the two preceding values (starting with 2 and 1). This passenger demand pattern follows the Lucas sequence, which helps transit planners optimize bus deployment for maximum efficiency.
    

    """
def find_lucas(n):
    """
    Given a specific time interval n in the daily bus schedule, determine the projected increase in peak-hour ridership by calculating the n'th number in a special sequence where each value is the sum of the two preceding values (starting with 2 and 1). This passenger demand pattern follows the Lucas sequence, which helps transit planners optimize bus deployment for maximum efficiency.
    

    """
    if n == 0:
        return 2
    if n == 1:
        return 1
    return find_lucas(n - 1) + find_lucas(n - 2)