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 A287156 2-limiting word of the morphism 0->10, 1->21, 2->0. 5
 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Starting with 0, the first 4 iterations of the morphism yield words shown here: 1st:  10 2nd:  2110 3rd:  0212110 4th:  1002010212110 The 2-limiting word is the limit of the words for which the number of iterations is congruent to 2 mod 3. Let u be the sequence of positions of 0, and likewise, v for 1 and w for 2.  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 = 3.079595623491438786010417..., V = 2.324717957244746025960908..., W = U + 1 = 4.079595623491438786010417.... If n >=2, then u(n) - u(n-1) is in {1,2,3,4,6}, v(n) - v(n-1) is in {1,2,3,4}, and w(n) - w(n-1) is in {2,3,4,5,7}. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The 2nd, 5th, and 8th iterates are 2110, 211010021100210212110, 211010021100210212110100210212110021211021101002110021021211002121102110100210212110211010021211010021100210212110. MATHEMATICA s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {2, 1}, 2 -> 0}] &, {0}, 11]   (* A287156 *) Flatten[Position[s, 0]] (* A287157 *) Flatten[Position[s, 1]] (* A287158 *) Flatten[Position[s, 2]] (* A287159 *) CROSSREFS Cf. A287108, A287157, A287158, A287159, A297160. Sequence in context: A145679 A007273 A016319 * A092510 A117208 A276004 Adjacent sequences:  A287153 A287154 A287155 * A287157 A287158 A287159 KEYWORD nonn,easy AUTHOR Clark Kimberling, May 22 2017 STATUS approved

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Last modified September 15 20:41 EDT 2019. Contains 327087 sequences. (Running on oeis4.)