The Simpsons opening sequence Bart writes "Being right sucks", a reference to the 2000 episode "Bart to the Future" where Lisa succeeds Trump as Commander-in-Chief. During the opening sequence, Lisa is seen being ejected from band rehearsal due to her non-conformist saxophone playing. She exits the room playing a saxophone solo, which sometimes changes. Some of the solos have similarities with pieces by Donovan, Frank Zappa, James Brown, and Charlie Parker. "The Simpsons" composer Alf Clausen said that the session musicians who perform her solos do not try to play at the second grade level and instead "think of Lisa as a really good
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