Watch Amy Sedaris Nonsensically Serenade David Letterman

"It's a very awkward time for you," actress says of late night host's last six weeks on 'The Late Show.' "It's a lot of attention. I know you don't like it; I don't like it either"

David Letterman's six-week, star-studded march toward his farewell show kicked off this week with a handful of old friends and favorite guests (like Billy Crystal) dropping by The Late Show to say goodbye to the late night host. Wednesday night, comic actress Amy Sedaris, a self-proclaimed 34-time Late Show guest, bid adieu to Letterman by serenading him with a medley to "wrap up" how she feels about the departing host. "No offense," Letterman quipped. "But can you sing?"

"Listen, it's a very awkward time for you. It's a lot of attention. I know you don't like it; I don't like it either," Sedaris said of Letterman's last six weeks on the air. "But you put yourself in this position. Seriously, you were a weatherman, then you had to have your own talk show. And this is how it wraps up, okay?"

Sedaris then launched into a rapid-fire medley of one lyric plucked out of seemingly random tunes before concluding with Allan Sherman's "Sam, You Made the Pants Too Long." "That song was… it was peculiar," Letterman told Sedaris, who responded, "I don't know any songs by heart, that's just a bit of something, but I love Erykah Badu."

Letterman's final six weeks, or his "very awkward time," will feature dozens of marquee guests like George Clooney, Letterman's old sparring partner Oprah Winfrey, Tom Hanks, Howard Stern, Jerry Seinfeld, Will Ferrell, Robert Downey Jr., his first ever guest Bill Murray and many more. On the music front, Tom Waits, Dave Matthews Band, Elvis Costello and Mumford & Sons will all visit the Ed Sullivan Theatre before Letterman retires on May 20th.