The Simpsons opening sequence couch drinking beer and watching the sequence on a TV. The crossover episode "Simpsorama" (season 26, episode 6) begins with a parody of the "Futurama" title sequence, which includes the "Futurama" theme music and a text reading "A show out of ideas teams up with a show out of episodes." It ends with a couch gag with the Simpsons sitting on the couch, only to find out the couch is actually Hedonismbot. Used as an opening sequence for "Dad Behavior". The sequence opens as usual, until Bart skateboards out of the school and lands on the pile of leaves. He
Automatic sequence is a fixed point of φ—that is, if "w" = φ("w")—then "s" = τ("w") is a "k"-automatic sequence. This result is due to Cobham, and it is referred to in the literature as "Cobham's theorem". Conversely, every "k"-automatic sequence is obtainable in this way. Let "k" ≥ 2. The "k-kernel" of the sequence "s"("n") is the set of subsequences In most cases, the "k"-kernel of a sequence is infinite. However, if the "k"-kernel is finite, then the sequence "s"("n") is "k"-automatic. It follows that a "k"-automatic sequence is necessarily a sequence on a finite alphabet. Let "u"("n") be a sequence