
    Design a function that calculates the total number of viable portfolio combinations across n investment cycles by summing only the balanced asset allocation strategies (represented by even-indexed binomial coefficients). The function should accept the number of investment cycles as input and determine the sum of these strategic combinations to help optimize client portfolio diversity. The calculated sum will guide financial advisors in recommending the most balanced investment approaches from all possible asset allocation combinations.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a function that calculates the total number of viable portfolio combinations across n investment cycles by summing only the balanced asset allocation strategies (represented by even-indexed binomial coefficients). The function should accept the number of investment cycles as input and determine the sum of these strategic combinations to help optimize client portfolio diversity. The calculated sum will guide financial advisors in recommending the most balanced investment approaches from all possible asset allocation combinations.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a function that calculates the total number of viable portfolio combinations across n investment cycles by summing only the balanced asset allocation strategies (represented by even-indexed binomial coefficients). The function should accept the number of investment cycles as input and determine the sum of these strategic combinations to help optimize client portfolio diversity. The calculated sum will guide financial advisors in recommending the most balanced investment approaches from all possible asset allocation combinations.
    

    """
    return 1 << n - 1