Guests at the Doubletree Hotel on New York’s Lexington Avenue must be a little worried by the giant inflatable bedbug which has been planted on the sidewalk outside the hotel’s front door.
   A notice attached to it states that hotel guests in the past had complained of sleeping with bed bugs and warns: “Bed bugs are extremely itchy. You can take bed bugs home with you in your luggage or clothes. Bed bugs are very difficult to eradicate if you take them home.”
  Other New York hotels have experienced bed bug problms in the past but the Doubetree is the first to have a giant bedbug outside its door. 
  Asked about it, a hotel doorman shrugged. “Nothing to do with me. I didn’t put it there,” he said.