Hello, Yes this is the article from which the example came from.
you are correct regarding the wolfram alfa calculation.assuming that their numbers are wrong
i tried to use matlabs commands for
g=chebyshevT([1 ,2, 3 ,4] , x) %first kind
[ x, 2*x^2 - 1, 4*x^3 - 3*x, 8*x^4 - 8*x^2 + 1]...