Next week, after three final shows, David Letterman hangs up his double-breasted sport coat and retires as the host of the Late Show with David Letterman. Today, CBS announced the lineup for the final episodes. Monday Tom Hanks and Eddie Veder will appear; Wednesday will be “an hour filled with surprises.” In between, in a decision perfect in its own circular way, Bill Murray will join Letterman for the final time.

It’s perfect because Murray was the first guest on Letterman’s very first episode of Late Night with David Letterman in February of 1982. At the time, the show aired on NBC at 12:35 after The Tonight Show, instead of 11:35 in direct competition with it (Letterman left for CBS in 1993, after losing the Tonight Show hosting gig to Jay Leno, who shockingly isn’t making an appearance during these final Late Shows). Murray and Letterman were great together right from the get-go. “I missed the first part of the show, by the way. What happened?” Murray said as an introduction. From moment on, Murray got the Letterman vibe.

Murray was also the first guest on the Late Show with David Letterman in 1993 (along with musical guest Billy Joel), so things really will come full circle on Tuesday night. Here’s Murray’s first appearance on the first Late Night with David Letterman, along with the entire first episode of the CBS Late Show. Maybe Bill and Dave can reenact these whole interviews word-for-word next Tuesday. That’d be a real hoot.