Bust and Broke

You continually roll a fair $n-$sided die with the values $1$ to $n$ on the sides until you roll either $1$ or $n$ on the upface. If the upface is $1$, you get to cash out the sum of all of the upfaces up until that point (excluding the $1$). If the upface is $n$, you receive no payout. You do not have the option to stop before rolling either $1$ or $n$. Find your expected payout when $n = 8$.