[![enter image description here](https://i.stack.imgur.com/yHqTD.png)](https://i.stack.imgur.com/yHqTD.png)

I understand the value of the game changes depending on what pile I take the coin from. If I take a coin from the front, I get $i+1$ coins (if I take $i = 1$, now $i =2$). This happens until $i = j$ and then the last player gets that coin worth $V(i+n,j-n)$. Does this suffice for a "recursive formula? What are the bounds?