
    In a delivery fleet management system, write a function that calculates the total number of balanced load distribution patterns given n possible route combinations, where only routes with even indices in the binomial expansion represent viable balanced distributions. The function should help optimize fleet routing by considering only these balanced distribution patterns among the total possible combinations.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    In a delivery fleet management system, write a function that calculates the total number of balanced load distribution patterns given n possible route combinations, where only routes with even indices in the binomial expansion represent viable balanced distributions. The function should help optimize fleet routing by considering only these balanced distribution patterns among the total possible combinations.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    In a delivery fleet management system, write a function that calculates the total number of balanced load distribution patterns given n possible route combinations, where only routes with even indices in the binomial expansion represent viable balanced distributions. The function should help optimize fleet routing by considering only these balanced distribution patterns among the total possible combinations.
    

    """
    return 1 << n - 1