
    Given a maintenance sequence number n, determine the total number of inspection points that need to be checked during the nth comprehensive vehicle inspection interval, where each subsequent interval adds inspection points in a triangular layered pattern to ensure complete coverage of all vehicle systems. The inspection points follow a tetrahedral progression where the nth interval's total points are calculated by adding n points to all previous intervals' cumulative points.
    

    
def tetrahedral_number(n):
    """
    Given a maintenance sequence number n, determine the total number of inspection points that need to be checked during the nth comprehensive vehicle inspection interval, where each subsequent interval adds inspection points in a triangular layered pattern to ensure complete coverage of all vehicle systems. The inspection points follow a tetrahedral progression where the nth interval's total points are calculated by adding n points to all previous intervals' cumulative points.
    

    """
def tetrahedral_number(n):
    """
    Given a maintenance sequence number n, determine the total number of inspection points that need to be checked during the nth comprehensive vehicle inspection interval, where each subsequent interval adds inspection points in a triangular layered pattern to ensure complete coverage of all vehicle systems. The inspection points follow a tetrahedral progression where the nth interval's total points are calculated by adding n points to all previous intervals' cumulative points.
    

    """
    return n * (n + 1) * (n + 2) / 6