A106601 Rauzy-like 3-symbol substitution that gives a tile: Characteristic polynomial: x^3-3*x^2-x-1.

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.

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: A322849 A322850 A337566 * A325533 A110030 A211948

Adjacent sequences: A106598 A106599 A106600 * A106602 A106603 A106604

Keyword

nonn,uned

Author

Roger L. Bagula, May 10 2005

Status

approved