David Letterman is coming home. “Late Night” host Seth Meyers announced on his Tuesday night program that Letterman, who hosted the NBC program from 1982 to 1993, will join him on air on Feb. 1 to celebrate the show’s 40th anniversary. Though other comedians including Conan O’Brien and Jimmy Fallon hosted “Late Night” between Letterman and Meyers, Meyers told Letterman when he was a “Late Night” guest in 2018 that “If you hadn’t started, I wouldn’t be here.” During that visit, Letterman brought Meyers a tick, he claimed he’d picked off his own body, and returned the compliment. “Your show is n…