Following the announcement that David Letterman will stand down from his Late Night show in 2015, The Simpsons have paid tribute to the talk show host with a special couch gag.

Letterman has fronted Late Night since 1982 making him television's longest-serving late night chat talk show host.

In the special sketch the Simpson family must find their way to Letterman's famous Late Night set where their couch lies in wait. Letterman's house band then plays the Simpsons theme tune.

At the end of the gag "We'll miss you, Dave" appears on the screen.