
    In a hospital's scheduling system, determine the optimal time slot allocation value for the nth appointment based on a specialized distribution sequence where each value represents the sum of the number of previous successful appointments at positions p(n-p(n-1)) and p(n-p(n-2)), with p(1)=1 and p(2)=1. This allocation system helps balance resource utilization and minimize scheduling conflicts based on historical patient attendance patterns.
    

    
def sequence(n):
    """
    In a hospital's scheduling system, determine the optimal time slot allocation value for the nth appointment based on a specialized distribution sequence where each value represents the sum of the number of previous successful appointments at positions p(n-p(n-1)) and p(n-p(n-2)), with p(1)=1 and p(2)=1. This allocation system helps balance resource utilization and minimize scheduling conflicts based on historical patient attendance patterns.
    

    """
def sequence(n):
    """
    In a hospital's scheduling system, determine the optimal time slot allocation value for the nth appointment based on a specialized distribution sequence where each value represents the sum of the number of previous successful appointments at positions p(n-p(n-1)) and p(n-p(n-2)), with p(1)=1 and p(2)=1. This allocation system helps balance resource utilization and minimize scheduling conflicts based on historical patient attendance patterns.
    

    """
    if n == 1 or n == 2:
        return 1
    else:
        return sequence(sequence(n - 1)) + sequence(n - sequence(n - 1))