Originally Posted by **serpicojr**

Could you describe this a little more carefully?

First, the curve you're plotting is y = 2<sup>x</sup>/2+1 = 2<sup>x-1</sup>+1, correct?

Second, I don't understand what you mean by "s is the base2 converted to base10". The only interpretation I can come up with is, "Take a number n, write it in base 2, and then consider this as an expansion in base 10, and take the result." This cannot be right, as 16 base 2 is 10,000 and 20 base 2 is 10,010, but clearly this is not what's happening in your graph, as whatever 20 gets sent to is more than twice what 16 gets sent to.