A108015 4-symbol substitution with characteristic polynomial: (x^2-x-1)*(x^2-x+1).

2, 3, 4, 3, 4, 4, 1, 2, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 1, 2, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4

Offset

0,1

Comments

This substitution gives a new self-affine fractal when taken on the roots: {x -> -0.618034}, {x -> 0.5 - 0.866025*I}, {x -> 0.5 + 0.866025*I}, {x -> 1.61803}}

Links

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

Formula

1->{4}, 2->{1, 2}, 3->{2}, 4->{3, 4}.

Mathematica

s[1] = {4}; s[2] = {1, 2}; s[3] = {2}; s[4] = {3, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[11]

Crossrefs

Sequence in context: A323374 A324197 A259573 * A344322 A030398 A030384

Adjacent sequences: A108012 A108013 A108014 * A108016 A108017 A108018

Keyword

nonn,uned

Author

Roger L. Bagula, May 30 2005

Status

approved