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A108133 Trajectory of 1 under the morphism 1->{2}, 2->{3}, 3->{1, 2, 2, 3, 3, 3}. +0
1
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 (list; graph; listen)
OFFSET

0,2

COMMENT

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}}

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: A060287 A165001 A059253 this_sequence A014499 A055778 A106482

Adjacent sequences: A108130 A108131 A108132 this_sequence A108134 A108135 A108136

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 04 2005

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 12 2007

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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