Yes you're correct. I neglected to account for the bijection between even naturals and odd naturals, and was only considering finite strings. Since we're talkin

Yes you're correct. I neglected to account for the bijection between even naturals and odd naturals, and was only considering finite strings. Since we're talking about infinite (or potentially infinite) strings here, the reduction in entropy is alright as you've stated since even and odds occur with equal probability if every digit of Pi occurs with equal probability.