Bended wires

"A thin, straight wire is marked off into m equal lengths by m-1 points. It is then bent at a right angle at each of one or more of these points, making each segment parallel to one of two rectangular axes. The bent wire may be self-intersecting, but not self-coincident over a finite length. How many different shapes may it have?" Found this one in my old paper Encyclopedia of Integer Sequences: M1206. In the online version it got another number: A001997.