Here's a simple formula. You could trivially write code in a few lines that implements it.
Now predict if a given complex value 'c' will result in a bounded orbit for z when this is iterated.
It's a code routine (if you write the code ... if you want me to supply the code I can do that for you as well). You can read the code. Nothing, when this code is executed makes independent decisions. So you should be able to tell what it does just by reading it.