
    In a dynamic delivery network, calculate the total number of possible route intersections that emerge when n levels of alternative paths are added to accommodate traffic rerouting, where each new level creates connections with all existing route points from previous levels. The resulting value represents the maximum number of decision points that need to be evaluated for optimal path selection in real-time traffic management.
    

    
def tetrahedral_number(n):
    """
    In a dynamic delivery network, calculate the total number of possible route intersections that emerge when n levels of alternative paths are added to accommodate traffic rerouting, where each new level creates connections with all existing route points from previous levels. The resulting value represents the maximum number of decision points that need to be evaluated for optimal path selection in real-time traffic management.
    

    """
def tetrahedral_number(n):
    """
    In a dynamic delivery network, calculate the total number of possible route intersections that emerge when n levels of alternative paths are added to accommodate traffic rerouting, where each new level creates connections with all existing route points from previous levels. The resulting value represents the maximum number of decision points that need to be evaluated for optimal path selection in real-time traffic management.
    

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