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Aronson's sequence

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Aronson's sequence is a sequence of numbers that is defined to 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".[1]

The first few numbers in the sequence are: 1,4,11,16,24,29,33...... (sequence A005224 in the OEIS)

References

  1. ^ Hofstadter, Douglas R. (1996), Metamagical Themas: Questing For The Essence Of Mind And Pattern, Basic Books, p. 44, ISBN 9780465045662.