A107292 3-symbol substitution with characteristic real root polynomial:m x^3-2*x^2-2*x+2.

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

Offset

0,2

Comments

This is a real root cubic:{{x -> -1.17009}, {x -> 0.688892}, {x -> 2.48119}} like the Bombieri aperiodic: a Bombieri silver Isomer substitution: ( same characteristic polynomial) 1->{3},2->{2,1,2},3->{1,2,2,1}

Links

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

Formula

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

Mathematica

s[1] = {1, 3, 3, 1}; s[2] = {3, 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[5]

Crossrefs

Cf. A106748, A106749.

Sequence in context: A317413 A359838 A110628 * A225331 A004550 A096836

Adjacent sequences: A107289 A107290 A107291 * A107293 A107294 A107295

Keyword

nonn,uned

Author

Roger L. Bagula, May 20 2005

Status

approved