The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A287121 0-limiting word of the morphism 0->10, 1->20, 2->1. 5
 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Starting with 0, the first 5 iterations of the morphism yield words shown here: 1st:  10 2nd:  2010 3rd:  1102010 4th:  2020101102010 5th:  11011020102020101102010 The 0-limiting word is the limit of the words for which the number of iterations is even. 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 = 2.246979603717467061050009768008..., V = 2.801937735804838252472204639014..., W = 5.048917339522305313522214407023... If n >=2, then u(n) - u(n-1) is in {2,3}, v(n) - v(n-1) is in {1,2,4,6}, and w(n) - w(n-1) is in {2,4,7,10}. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE 2nd iterate: 2010 4th iterate: 2020101102010 6th iterate: 202010202010110201011011020102020101102010 MATHEMATICA s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {2, 0}, 2 -> 1}] &, {0}, 10] (* A287121 *) Flatten[Position[s, 0]] (* A287122 *) Flatten[Position[s, 1]] (* A287123 *) Flatten[Position[s, 2]] (* A287124 *) CROSSREFS Cf. A287122, A287123, A287124, A287129. Sequence in context: A039973 A035171 A088700 * A035446 A126211 A095414 Adjacent sequences:  A287118 A287119 A287120 * A287122 A287123 A287124 KEYWORD nonn,easy AUTHOR Clark Kimberling, May 22 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 20:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)