
    In a hospital's readmission risk assessment system, develop a function that analyzes a patient's medical history containing n distinct conditions and calculates the total risk score by summing the even-indexed combination patterns of concurrent conditions. The risk score is computed using binomial coefficients where even indices represent significant condition combinations that have been historically linked to readmission probability.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    In a hospital's readmission risk assessment system, develop a function that analyzes a patient's medical history containing n distinct conditions and calculates the total risk score by summing the even-indexed combination patterns of concurrent conditions. The risk score is computed using binomial coefficients where even indices represent significant condition combinations that have been historically linked to readmission probability.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    In a hospital's readmission risk assessment system, develop a function that analyzes a patient's medical history containing n distinct conditions and calculates the total risk score by summing the even-indexed combination patterns of concurrent conditions. The risk score is computed using binomial coefficients where even indices represent significant condition combinations that have been historically linked to readmission probability.
    

    """
    return 1 << n - 1