My first solution was the one described in post #2. My second was described in post #4, with the proviso that lifting the bar to get the open high E tends to result in muting the second string, but you get the low octave of that note on the fifth string.
Context is pertinent. Do you actually need the low F? If not
Code:
x 0
╒═╤═╤═╤═╤═╕
│ │ │ │ 1 │
├─┼─┼─┼─┼─┤
│ │ │ 2 │ │
├─┼─┼─┼─┼─┤
│ 4 3 │ │ │
├─┼─┼─┼─┼─┤
│ │ │ │ │ │
or
Code:
x 0 0
╒═╤═╤═╤═╤═╕
│ │ │ │ 1 │
├─┼─┼─┼─┼─┤
│ │ │ 2 │ │
├─┼─┼─┼─┼─┤
│ │ 3 │ │ │
├─┼─┼─┼─┼─┤
│ │ │ │ │ │
or
Code:
x x 0
╒═╤═╤═╤═╤═╕
│ │ │ │ 1 │
├─┼─┼─┼─┼─┤
│ │ │ 2 │ │
├─┼─┼─┼─┼─┤
│ │ 3 │ │ │
├─┼─┼─┼─┼─┤
│ │ │ │ │ │
might do.