A108133 - OEIS

A108133

Trajectory of 1 under the morphism 1->{2}, 2->{3}, 3->{1, 2, 2, 3, 3, 3}.

1, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 2, 3

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OFFSET

0,2

COMMENTS

Three symbol Pisot substitution with characteristic polynomial x^3-3*x^2-2*x-1.

Roots of polynomial are {{x -> -0.313683 - 0.421053 *I}, {x -> -0.313683 + 0.421053 *I}, {x -> 3.62737}}

LINKS

Table of n, a(n) for n=0..104.

Index entries for sequences that are fixed points of mappings

MATHEMATICA

s[1] = {2}; s[2] = {3}; s[3] = {1, 2, 2, 3, 3, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[6]

CROSSREFS