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URL: https://oeis.org/A106601

⇱ A106601 - OEIS

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A106601
Rauzy-like 3-symbol substitution that gives a tile: Characteristic polynomial: x^3-3*x^2-x-1.
0
3, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 1, 2
OFFSET
0,1
COMMENTS
To get tile: ( tile has edges like the (2,3) Akiyama curly tile) aa=p[12] rule = NSolve[Det[M - x*IdentityMatrix[n0]] == 0, x][[1]] * graphing subroutine*) bb = aa /. 1 -> {Re[x], Im[x]} /. 2 -> {Re[x^2], Im[x^2]} /. 3 -> {Re[x^3], Im[x^3]} /. rule; ListPlot[FoldList[Plus, {0, 0}, bb], PlotJoined -> False, PlotRange -> All, Axes -> False];
REFERENCES
Curtis McMullen, Prym varieties and Teichmuller curves.
FORMULA
1->{2}, 2->{3}, 3->{3, 1, 2, 3, 3}
MATHEMATICA
s[1] = {2}; s[2] = {3}; s[3] = {3, 1, 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: A322849 A322850 A337566 * A325533 A110030 A211948
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, May 10 2005
STATUS
approved