No, no celullar automata.
Glad you found a campaign you enjoy. Puzzles like that sound completely boring, though. An hour spent "No wait, push 3!" "No wait, push 1 and 3!!" Did bad things happen if you pushed the wrong buttons?
We're level 1 and starting a brand new game that none of us has ever played. There's gotta be some simple stuff. And it's amusing to have the occasional puzzle.
Of course, we wouldn't spend an hour sitting around not getting it. The DM would start giving us hints and pushes if we didn't know. Fortunately, I recognized the pattern fairly quickly and, though I didn't know what the entire board represented, I did figure out what the next number in the sequence was.