Aronson's sequence: Difference between revisions

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In [[Douglas Hofstadter]]'s book [[Metamagical Themas]], the sequence is credited to J. K.[[Jeffrey Aronson]] of Oxford, England. The sequence is infinite—and this statement requires some proof. The proof depends on the observation that the English names of all [[ordinal number (linguistics)|ordinal number]]s, except those that end in 2, must contain at least one "t".<ref>{{citation|title=Metamagical Themas: Questing For The Essence Of Mind And Pattern|first=Douglas R.|last=Hofstadter|authorlink=Douglas Hofstadter|publisher=Basic Books|year=1996|isbn=9780465045662|page=44|url=https://books.google.com/books?id=o8jzWF7rD6oC&pg=PA44}}.</ref>

Aronson's sequence is closely related to [[autogram]]s . There are many generalizations of Aronson's sequence and research into the topic is ongoing.<ref name=benoit/><ref>[http://arxiv.org/abs/math/0305308 "Numerical Analogues of Aronson's Sequence" by Benoit Cloitre, N. J. A. Sloane, Matthew J. Vandermast, Cornell University Library, 21 May 21, 2003]</ref>