User blog:WaxPlanck/Exponentation and Steps

I am experimenting with Turing machines. I also found a Turing machine provided by Little Peng 9, which I am using for this experiment. The machine does operations and hyperoperations (addition, multiplication, exponentation, etc.), and I am using exponent mode (3 arrows) with 2 as the base. The machine runs in unary or base 1, meaning that each digit adds instead of multiplies.

With 2^n, here are the results:

1: 14

Here (starting with 2) are the results divided by two:

2: