Lebtucky is a term used from people in Indiana, typically from Central Indiana like Boone County. Lebtucky is another name for Lebanon, IN.
It was originated by a teenage boy who made a hundred shirts that said "Lebtucky Represent" and he sold them during the 4th of July Parade. The term stuck and has been used for approximately four years.
Lebtucky is interpreted in various ways. People outside of it think it means that Lebanon is similar to Kentucky, as in it's full of hicks and rednecks. Though to Lebtuckians and neighboring towns, it simply means the patriotism of Lebanon and Boone County.
Guy 1: "Dude, I hear Lebtucky is full of rednecks."
Guy 2: "Nah, man, you've got it wrong. Don't ever tell someone from Lebanon that either. They'll join together and beat your ass."