A108132 Three symbol Pisot substitution with characteristic Polynomial: x^3-2*x^2-2*x-1.

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

Offset

0,1

Comments

Pisot with roots: {{x -> -0.415589 - 0.424848*I}, {x -> -0.415589 + 0.424848*I}, {x -> 2.83118}} This substitution gives two part near tile fractal.

Links

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

Formula

1->{2}, 2->{3}, 3->{1, 2, 2, 3, 3}

Mathematica

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

Crossrefs

Sequence in context: A204259 A371888 A066517 * A106589 A335490 A334290

Adjacent sequences: A108129 A108130 A108131 * A108133 A108134 A108135

Keyword

nonn,uned

Author

Roger L. Bagula, Jun 04 2005

Status

approved