Thanks Allan! (and this is the first time I encounter the « single token » concept — very instructive!-) Here is, I guess, the longest (though short) seq of terms counting the consonants used so far: THRee FiVe eiGHT TWeLVe SiXTeeN TWeNTy TWeNTySiX THiRTy THiRTySeVeN FoRTyoNe FoRTySeVeN FiFTyoNe FiFTySeVeN SiXTyTWo SiXTyeiGHT SeVeNTyFouR stop Best, É.
Le 26 juil. 2020 à 16:04, Allan Wechsler <acwacw@gmail.com> a écrit :
This sequence is the fixed point of the morphism 1 -> 12; 2 -> 3; 3 -> "41"; "41" -> 2122. Here, "41" must be treated as a single token.
Limits of such morphisms are not usually periodic. The Thue-Morse sequence is a famous example.
On Sat, Jul 25, 2020, 4:24 PM Éric Angelini <eric.angelini@skynet.be> wrote: ONE TWO THREE FOUR ONE TWO ONE TWO TWO THREE ONE TWO THREE THREE FOUR ONE ONE TWO ... Insert a dot after each vowel: O.NE. TWO. THRE.E. FO.U.R O.NE. TWO. O.NE. TWO. TWO. THRE.E. O.NE.TWO. THRE.E. THRE.E. FO.U.R O.NE. O.NE. TW.O ... The size of the successive chunks is given by the sequence itself. Question: does the said sequence enter into a loop? Best, É.
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