Aronson's sequence: Difference between revisions

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The '''Aronson's Sequencesequence''' is a sequence of numbers that is defined asto '''make the sentence "T is the first, fourth, eleventh, ... letter in this sentence, not counting spaces or commas'''" true.

In [[Douglas Hofstadter]]'s book [[Metamagical Themas]], the sequence is credited to J. K. Aronson of Oxford, England; it is based on the observation that ordinal numbers in the English language always end in "th".<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>

==Origin==

The first few termsnumbers ofin the sequence are: 1,4,11,16,24,29,33...... {{OEIS|A005224}}

The sequence is based on the observation that ordinal numbers in the English language always end in "th".<ref>[http://everything2.com/title/Aronson%2527s+Sequence everything2.com]</ref>

The first few terms of the sequence are: 1,4,11,16,24,29,33......

==Recognition==

The sequence was mentioned in Douglas Hofstadter's book [[Metamagical Themas]].<ref>[http://mathworld.wolfram.com/AronsonsSequence.html wolfram.com]</ref>

The sequence was assigned the number A005224 by the [[OEIS]].<ref>[http://oeis.org/A005224 oeis.org]</ref>

== References ==

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== External links ==

* {{mathworld|urlname=AronsonsSequence.html|title=Aronson's Sequence}}

* http://oeis.org/A005224

* http://livearchive.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=2891

[[Category:IntegerBase-dependent integer sequences]]