Sorry, I got the title wrong. It's called Mathematics Of Murder, an episode of the Molle Mystery Theater.
Here's are two links to the episode on Youtube, both incorrectly labelled "Mathematics For Murder":
https://www.youtube.com/watch?v=CuQ_uPB7ybA
https://www.youtube.com/watch?v=n12cViYkFcM
I also nominate the movie Dial M for Murder as another possible Columbo prototype. The audience witnesses the murder early in the film, and the detective plays cat and mouse and tricks the guilty party into revealing his guilt. Plus, it stars future Columbo alumnus, Ray Milland.