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Aronson's Sequence


Aronson's sequence is defined by the English sentence: "t is the first, fourth, eleventh, ... letter of this sentence." The first few values, obtained by counting letters and ignoring spaces and punctuation, are 1, 4, 11, 16, 24, 29, 33, 35, 39, ... (OEIS A005224).

The terms are written as English ordinal names. The spelling convention omits "and," for example "one hundred fourth." Different spelling conventions can change later terms (Cloitre et al. 2003).


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References

Cloitre, B.; Sloane, N. J. A.; and Vandermast, M. J. "Numerical Analogues of Aronson's Sequence." J. Integer Seq. 6, 03.2.2, 2003. https://cs.uwaterloo.ca/journals/JIS/VOL6/Cloitre/cloitre2.html.Hofstadter, D. R. Metamagical Themas: Questing of Mind and Pattern. New York: BasicBooks, p. 44, 1985.Sloane, N. J. A. Sequence A005224/M3406 in "The On-Line Encyclopedia of Integer Sequences."

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Aronson's Sequence

Cite this as:

Weisstein, Eric W. "Aronson's Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AronsonsSequence.html

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