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

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

Sequence in context: A165001 A364200 A059253 * A341120 A332252 A238268

Adjacent sequences: A108130 A108131 A108132 * A108134 A108135 A108136

Keyword

nonn

Author

Roger L. Bagula, Jun 04 2005

Extensions

Edited by N. J. A. Sloane, Jun 12 2007

Status

approved