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 A287364 1-limiting word of the morphism 0->11, 1->21, 2->0. 6
 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Starting with 0, the first 5 iterations of the morphism yield words shown here: 1st: 11 2nd: 2121 3rd: 021021 4th: 1102111021 5th: 212111021212111021 The 1-limiting word is the limit of the words for which the number of iterations congruent to 1 mod 3. Let U, V, W be the limits of u(n)/n, v(n)/n, w(n)/n, respectively. Then 1/U + 1/V + 1/W = 1, where U = 5.5707505637226408833903376944272134..., V = 1.9375648970813894129869852971548390..., W = 3.2853752818613204416951688472136067... If n >=2, then u(n) - u(n-1) is in {3,5,9}, v(n) - v(n-1) is in {1,2,3}, and w(n) - w(n-1) is in {2,3,5}. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE 4th iterate: 1102111021 7th iterate: 11021110210210212121110211102111021021021212111021 MATHEMATICA s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {2, 1}, 2 -> 0}] &, {0}, 13] (* A287364 *) Flatten[Position[s, 0]] (* A287365 *) Flatten[Position[s, 1]] (* A287366 *) Flatten[Position[s, 2]] (* A287367 *) CROSSREFS Cf. A287360 (0-limiting word), A287365, A287366, A287367, A287368 (2-limiting word). Sequence in context: A026609 A286935 A090340 * A340676 A117162 A277045 Adjacent sequences: A287361 A287362 A287363 * A287365 A287366 A287367 KEYWORD nonn,easy AUTHOR Clark Kimberling, May 24 2017 STATUS approved

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Last modified March 30 07:38 EDT 2023. Contains 361606 sequences. (Running on oeis4.)