Logan County Blues is a very popular old time fiddle tune that sounds great when played on the 5 string banjo. This tune is usually played in the key of D so tune your banjo to Double C tuning (GCGCD) and put a capo on the second fret.
This tab is not an exact reproduction of any specific player playing it. It is just the way I personally learned it from somewhere along the way and then modified it with my own style.
The most tricky thing to look out for on here is there are a number of times where I play the 5th string with my thumb on an offbeat without playing a note before it (such as in measure 4). This creates syncopation and some space which I personally like.
The tune has two parts, an A and a B section. The A section is basically a 12 bar blues. The B section is an 8 bar section with a I chord and a V chord. Each section is repeated before moving to the next section (note the repeat markers).
Good luck and let me know if you have any questions in the comments below!