It’s believed by some (but not proven) that you can find any sequence of digits you’d like in Pi.
But you generally need a number that has about as many bits as the sequence itself just to pinpoint which digit to start reading from.
If that number is represented by some other constant, that counts. If we just have to figure it out ourselves, in the same way that we’d be able to figure out which digit to start if we wanted to find “The Hobbit” encoded in the digits of pi, it doesn’t count.
But you generally need a number that has about as many bits as the sequence itself just to pinpoint which digit to start reading from.
If that number is represented by some other constant, that counts.
If we just have to figure it out ourselves, in the same way that we’d be able to figure out which digit to start if we wanted to find “The Hobbit” encoded in the digits of pi, it doesn’t count.