The Simpsons opening sequence Best TV Title Sequences of All Time". The Simpsons opening sequence The opening sequence of the American animated television series "The Simpsons" is among the popularized opening sequences in television and goes along with one of television's most recognizable theme songs. The first episode to use this intro was the series' second episode "Bart the Genius". The standard opening has had two major revisions. The first was at the start of the second season when the entire sequence was reanimated to improve the quality and certain shots were changed generally to add characters who had been established in the first
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