The question was posed to me in an online interview.
This intriguing question originated from Adaptive Array topic in division Phased, Adaptive and Binomial Arrays of Antennas
To elaborate: An array with desired side lobes can be designed by using the Dolph-chebyshev method. This method uses the approximation of the Chebyshev polynomials. Binomial array uses the Pascal’s triangle for amplitude excitations.