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Aronsons sequence is an integer sequence defined by the English sentence T is the first fourth eleventh sixteenth ... letter in this sentence. Spaces
In Douglas Hofstadter's book Metamagical Themas, the sequence is credited to Jeffrey 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 ordinal numbers , except those that end in 2, must contain at least one "t".
In Douglas Hofstadter's book Metamagical Themas, the sequence is credited to Jeffrey 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 ordinal numbers , except those that end in 2, must contain at least one "t".
There are many generalizations of Aronson's sequence and research into the topic is ongoing. [2] [3] Cloitre & Sloane (Vandermast) write that Aronson's sequence is "a classic example of a 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 Douglas Hofstadter 's book Metamagical Themas, the sequence is credited to Jeffrey 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 ordinal numbers, except those that end in 2, must contain at least one "t".
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