
    Design a fraud detection algorithm that calculates the total number of legitimate transaction pattern combinations by summing up the binomial coefficients at even indices, given n transaction pattern categories. The resulting sum will establish baseline rules for identifying normal transaction behavior in the bank's fraud detection system.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection algorithm that calculates the total number of legitimate transaction pattern combinations by summing up the binomial coefficients at even indices, given n transaction pattern categories. The resulting sum will establish baseline rules for identifying normal transaction behavior in the bank's fraud detection system.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a fraud detection algorithm that calculates the total number of legitimate transaction pattern combinations by summing up the binomial coefficients at even indices, given n transaction pattern categories. The resulting sum will establish baseline rules for identifying normal transaction behavior in the bank's fraud detection system.
    

    """
    return 1 << n - 1