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 A287331 1-limiting word of the morphism 0->10, 1->22, 2->0, starting with 0. 4
 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Starting with 0, the first 5 iterations of the morphism yield words shown here: 1st: 10 2nd: 2210 3rd: 002210 4th: 1010002210 5th: 221022101010002210 The 1-limiting word is the limit of the words for which the number of iterations is 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 = 2.28537528186132044169516884721360670506..., V = 3.87512979416277882597397059430967806752..., W = 3.28537528186132044169516884721360670506... If n >=2, then u(n) - u(n-1) is in {1,2,4}, v(n) - v(n-1) is in {2,4,6}, and w(n) - w(n-1) is in {1,3,5,9}. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE 1st iterate: 10 4th iterate: 1010002210 MATHEMATICA s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {2, 2}, 2 -> 0}] &, {0}, 10] (* A287331 *) Flatten[Position[s, 0]] (* A287332 *) Flatten[Position[s, 1]] (* A287333 *) Flatten[Position[s, 2]] (* A287334 *) CROSSREFS Cf. A287175, A287332, A287333, A287334. Sequence in context: A074080 A359440 A347687 * A179769 A340594 A361685 Adjacent sequences: A287328 A287329 A287330 * A287332 A287333 A287334 KEYWORD nonn,easy AUTHOR Clark Kimberling, May 23 2017 EXTENSIONS Definition corrected by Georg Fischer, May 27 2021 STATUS approved

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Last modified September 26 00:10 EDT 2023. Contains 365649 sequences. (Running on oeis4.)