A106038 - OEIS

A106038

Triangle Loop von Koch substitution: characteristic polynomial:x^3-6x^2+8*x.

1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 1, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 1, 3, 1, 2, 3, 1, 1, 2, 3, 1, 3, 1, 1, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 1, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 1, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3

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OFFSET

0,2

COMMENTS

To get the fractal: bb = aa /. 1 -> {1, 0} /. 2 -> {-1, N[Sqrt[3]]}/2 /. 3 -> {-1, -N[Sqrt[3]]}/2; ListPlot[FoldList[Plus, {0, 0}, bb], PlotJoined -> True, PlotRange -> All, Axes -> False];

LINKS

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

FORMULA

1->{1, 2, 3, 1}, 2->{2, 1, 1, 2}, 3->{3, 1, 1, 3}

MATHEMATICA

s[1] = {1, 2, 3, 1}; s[2] = {2, 1, 1, 2}; s[3] = {3, 1, 1, 3};; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[4]

CROSSREFS

Sequence in context: A322874 A091654 A127246 * A078711 A338850 A322423

Adjacent sequences: A106035 A106036 A106037 * A106039 A106040 A106041

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, May 05 2005

STATUS

approved