Come on, there's an arbitrary number of formulas that could be used to encode the next bit. If you look at a sequence 1 3 5 7 and ask what's the next number most people would answer 9. Then the answer is "11, because it's the odd numbers excluding squares like 3*3 = 9" and people would go "How the f*ck should I know that?" and there's no analytic function that says how "weird" your formula is. You're just making a guess of how long it'd take before someone tries a formula like this, it could be in five minutes or fifty years.
No, people would then ask "Why is 1 in the list then since 1*1 = 1?"