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A106589 Three-symbol substitution based on Rauzy: adding one 3 to second substitution: characteristic polynomial: x^3-x^2-2*x-2. 0

%I

%S 2,3,3,1,2,3,2,3,3,1,2,3,3,3,1,2,3,1,2,3,2,3,3,1,2,3,3,3,1,2,3,1,2,3,

%T 2,3,3,1,2,3,1,2,3,1,2,3,2,3,3,1,2,3,2,3,3,1,2,3,3,3,1,2,3,1,2,3,2,3,

%U 3,1,2,3,2,3,3,1,2,3,2,3,3,1,2,3,3,3,1,2,3,1,2,3,2,3,3,1,2,3,3,3,1,2,3,1,2

%N Three-symbol substitution based on Rauzy: adding one 3 to second substitution: characteristic polynomial: x^3-x^2-2*x-2.

%H Curtis McMullen, <a href="http://projecteuclid.org/euclid.dmj/1150201202">Prym varieties and Teichmüller curves</a>, Duke Math. J., Volume 133, Number 3 (2006), 405-616

%F 1->{2}, 2->{3, 3} 3->{1, 2, 3}.

%t s[1] = {2}; s[2] = {3, 3}; s[3] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[7]

%o (PARI) {a(n)=local(A); if(n<1,0, A=[2]; while(length(A)<n|A[1]!=2, A=concat(vector(length(A),k,[[2],[3,3],[1,2,3]][A[k]]))); A[n])} /* _Michael Somos_, May 16 2005 */

%K nonn,uned

%O 0,1

%A _Roger L. Bagula_, May 10 2005

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Last modified December 1 16:07 EST 2021. Contains 349430 sequences. (Running on oeis4.)