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 A107337 Substitution 1->{1, 2, 1, 3, 2, 3, 1}, 2->{3}, 3->{1}, starting with 1. 1
 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 3, 1, 1, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 3, 1, 1, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 3, 1, 1, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 1, 3, 2, 3, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Original name was: 223 Pisot cubic substitution with characteristic polynomial: x^3-3*x^2-2*x-2. LINKS EXAMPLE Start: 1 Rules:   1 --> 1213231   2 --> 3   3 --> 1 ------------- 0:   (#=1)   1 1:   (#=7)   1213231 2:   (#=25)   1213231312132311311213231 3:   (#=91)   1213231312132311311213231112132313121323113112132311213231112132311213231312132311311213231 4:   (#=337)   12132313121323113112132311121323131213231131121323112132 ... MATHEMATICA s[1] = {1, 2, 1, 3, 2, 3, 1}; s[2] = {3}; s[3] = {1}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[4] PROG (Python) from itertools import chain A107337 = [1] for _ in range(4): ....A107337 = list(chain.from_iterable(([1, 2, 1, 3, 2, 3, 1] if d == 1 else [3] if d == 2 else [1] for d in A107337))) # Chai Wah Wu, Sep 03 2014 CROSSREFS Sequence in context: A304099 A293390 A189231 * A066376 A151682 A318928 Adjacent sequences:  A107334 A107335 A107336 * A107338 A107339 A107340 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 22 2005 EXTENSIONS Edited by Joerg Arndt, Jun 26 2011 STATUS approved

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Last modified September 19 17:35 EDT 2021. Contains 347564 sequences. (Running on oeis4.)