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A107296 Three-symbol substitution with real Pisot characteristic polynomial: x^3-3*x^2-x-2. 0
1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Bombieri type Real Roots: {{x -> -0.860806}, {x -> 0.745898}, {x -> 3.11491}} Matrix isomer: 1->{3},{2->{2,1,2,2},3->{1,2} I found this while trying to get a substitution for the Frougny real root characteristic polynomial: x^3-3*x^2+1

LINKS

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

FORMULA

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

MATHEMATICA

s[1] = {1, 3, 1, 1}; s[2] = {1, 3}; s[3] = {2}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[4]

CROSSREFS

Cf. A106748, A106749.

Sequence in context: A157229 A242248 A107297 * A080847 A270572 A095276

Adjacent sequences:  A107293 A107294 A107295 * A107297 A107298 A107299

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, May 20 2005

STATUS

approved

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Last modified March 23 21:31 EDT 2017. Contains 283985 sequences.