Aronson's sequence: Difference between revisions

Revision as of 02:16, 24 May 2012

Revision as of 02:25, 24 May 2012

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The first few numbers in the sequence are:

:1, 4, 11, 16, 24, 29, 33, ... {{OEIS|A005224}}.

{{harvtxt|Cloitre|Sloane|Vandermast|2003}} write that Aronson's sequence is "a classic example of a [[Self-reference|self-referential]] sequence";

however, they criticize it for being ambiguously defined due to the variation in naming of numbers over one hundred in different dialects of English. In its place, they offer several other self-referential sequences whose definitions rely only on mathematics rather than on the English language.<ref>{{citation

| last1 = Cloitre | first1 = Benoit

| last2 = Sloane | first2 = N. J. A. | author2-link = Neil Sloane

| last3 = Vandermast | first3 = Matthew J.

| arxiv = math/0305308

| journal = Journal of Integer Sequences

| at = Art. 03.2.2

| title = Numerical analogues of Aronson's sequence

| url = http://www.emis.ams.org/journals/JIS/VOL6/Cloitre/cloitre2.pdf

| volume = 6

| year = 2003}}.</ref>

== References ==