
    Design a fraud detection function that calculates the total risk score by analyzing even-positioned transaction pattern combinations from a set of n possible patterns in a banking system. The risk score is determined by summing the binomial coefficients at even indices, where each coefficient represents the number of ways specific transaction patterns can combine to form suspicious activity markers. The function should accept a positive integer n representing the total number of transaction patterns to analyze.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection function that calculates the total risk score by analyzing even-positioned transaction pattern combinations from a set of n possible patterns in a banking system. The risk score is determined by summing the binomial coefficients at even indices, where each coefficient represents the number of ways specific transaction patterns can combine to form suspicious activity markers. The function should accept a positive integer n representing the total number of transaction patterns to analyze.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection function that calculates the total risk score by analyzing even-positioned transaction pattern combinations from a set of n possible patterns in a banking system. The risk score is determined by summing the binomial coefficients at even indices, where each coefficient represents the number of ways specific transaction patterns can combine to form suspicious activity markers. The function should accept a positive integer n representing the total number of transaction patterns to analyze.
    

    """
    return 1 << n - 1