|
| |
|
|
A108015
|
|
4-symbol substitution with characteristic polynomial: (x^2-x-1)*(x^2-x+1).
|
|
0
| |
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
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}}
|
|
|
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: A165482 A099034 A165576 * A030398 A030384 A067349
Adjacent sequences: A108012 A108013 A108014 * A108016 A108017 A108018
|
|
|
KEYWORD
| nonn,uned
|
|
|
AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 30 2005
|
| |
|
|
