I teach at a local Music Academy, I give this to students that want to go from the open low E string to the very last fret, using open strings and pivoting your fret board hand to shift positions. Do this very slow at first and you decide which fingers to use . But please, involve your pinky, it will eventually have to be used . Print this out and have fun with this, it will improve your playing and give you more tools in your guitar playing tool box .
The reason I didn't post a suggested fingerings, is for the user to determine which fingers to use. Did it really, really slow, it will naturally come to you .