The Simpsons opening sequence standards and practices department also demanded a handful of changes, but, according to Jean, "95 percent of it is just the way [Banksy] wanted." Banksy told "The Guardian" that his opening sequence was influenced by "The Simpsons" long-running use of animation studios in Seoul, South Korea. The newspaper also reported that the creation of the sequence "is said to have been one of the most closely guarded secrets in US television – comparable to the concealment of Banksy's own identity." Although conceding to the fact that "The Simpsons" is largely animated in South Korea, Jean went on to state that
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