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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 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

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

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: A026181 A322849 A322850 * A110030 A211948 A021766

Adjacent sequences:  A106598 A106599 A106600 * A106602 A106603 A106604

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, May 10 2005

STATUS

approved

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Last modified February 22 09:55 EST 2019. Contains 320390 sequences. (Running on oeis4.)