def generate_chebyshev_betas(n=10):
    """
    Generate the first n beta coefficients for monic chebyshev polynomials
    Source for the recurrence relation:
    https://www3.nd.edu/~zxu2/acms40390F11/sec8-3.pdf, accessed 11/07/17
    :param n: Number of required coefficients, must be >2
    :return: List of the first n coefficients
    """
    return [3.14158433] + [0.5] + [0.25] * (n - 2)