It's not true that any transcendental number would work. A transcendental number is a number which isn't the root of any polynomial with rational coefficients.

It's not true that any transcendental number would work. A transcendental number is a number which isn't the root of any polynomial with rational coefficients. This property doesn't imply that it contains all number sequences. It hasn't even been proven that pi contains all number sequences. See https://math.stackexchange.com/questions/216343/does-pi-contain-all-possible-number-combinations https://math.stackexchange.com/questions/216343/does-pi-cont... for more details.