
    Develop a function that calculates the total risk score for patient readmission by analyzing n historical behavior patterns, where the risk score is determined by summing only the even-indexed combinations of behavioral factors. The function should take a positive integer n representing the number of behavior patterns to analyze and compute the sum of even-indexed binomial coefficients up to that depth of analysis.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Develop a function that calculates the total risk score for patient readmission by analyzing n historical behavior patterns, where the risk score is determined by summing only the even-indexed combinations of behavioral factors. The function should take a positive integer n representing the number of behavior patterns to analyze and compute the sum of even-indexed binomial coefficients up to that depth of analysis.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Develop a function that calculates the total risk score for patient readmission by analyzing n historical behavior patterns, where the risk score is determined by summing only the even-indexed combinations of behavioral factors. The function should take a positive integer n representing the number of behavior patterns to analyze and compute the sum of even-indexed binomial coefficients up to that depth of analysis.
    

    """
    return 1 << n - 1