
    In a public transit system's predictive maintenance program, develop a function that calculates the total number of possible major maintenance combinations across n inspection cycles, where major inspections occur at even-numbered cycles. The function should compute this by summing the binomial coefficients at even indices up to the nth cycle, which represents how maintenance tasks can be distributed across vehicle subsystems during major inspections.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    In a public transit system's predictive maintenance program, develop a function that calculates the total number of possible major maintenance combinations across n inspection cycles, where major inspections occur at even-numbered cycles. The function should compute this by summing the binomial coefficients at even indices up to the nth cycle, which represents how maintenance tasks can be distributed across vehicle subsystems during major inspections.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    In a public transit system's predictive maintenance program, develop a function that calculates the total number of possible major maintenance combinations across n inspection cycles, where major inspections occur at even-numbered cycles. The function should compute this by summing the binomial coefficients at even indices up to the nth cycle, which represents how maintenance tasks can be distributed across vehicle subsystems during major inspections.
    

    """
    return 1 << n - 1