
    Design a fraud detection function that calculates the total risk score by summing the significance values of even-indexed transaction patterns from a total of n pattern combinations. Each significance value is determined by the binomial coefficient at that index position, representing the statistical weight of that particular transaction pattern in fraud detection. The function should process a positive integer n representing the total number of transaction patterns to be analyzed.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection function that calculates the total risk score by summing the significance values of even-indexed transaction patterns from a total of n pattern combinations. Each significance value is determined by the binomial coefficient at that index position, representing the statistical weight of that particular transaction pattern in fraud detection. The function should process a positive integer n representing the total number of transaction patterns to be analyzed.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection function that calculates the total risk score by summing the significance values of even-indexed transaction patterns from a total of n pattern combinations. Each significance value is determined by the binomial coefficient at that index position, representing the statistical weight of that particular transaction pattern in fraud detection. The function should process a positive integer n representing the total number of transaction patterns to be analyzed.
    

    """
    return 1 << n - 1