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Search: id:A106601
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| A106601 |
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Rauzy-like 3-symbol substitution that gives a tile: Characteristic polynomial: x^3-3*x^2-x-1. |
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+0
1
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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];
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REFERENCES
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Curtis McMullen, Prym varieties and Teichmuller curves.
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FORMULA
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1->{2}, 2->{3}, 3->{3, 1, 2, 3, 3}
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MATHEMATICA
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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]
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CROSSREFS
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Sequence in context: A165084 A029279 A026181 this_sequence A110030 A021766 A135564
Adjacent sequences: A106598 A106599 A106600 this_sequence A106602 A106603 A106604
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 10 2005
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