Aronson's sequence: Difference between revisions

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:1, 4, 11, 16, 24, 29, 33, 35, 39, 45, 47, 51, 56, 58, 62, 64, 69, 73, 78, 80, 84, 89, 94, 99, 104, 111, 116, 122, 126, 131, 136, 142, 147, 158, 164, 169, ... {{OEIS|A005224}}.

In [[Douglas Hofstadter]]'s book [[Metamagical Themas]], the sequence is credited to J. K. 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 numbers[[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=http://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>