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 A106693 3 symbols taken seven at a time symmetrically. 0

%I

%S 1,1,3,2,3,1,1,1,1,3,2,3,1,1,3,3,2,1,2,3,3,2,2,1,3,1,2,2,3,3,2,1,2,3,

%T 3,1,1,3,2,3,1,1,1,1,3,2,3,1,1,1,1,3,2,3,1,1,1,1,3,2,3,1,1,3,3,2,1,2,

%U 3,3,2,2,1,3,1,2,2,3,3,2,1,2,3,3,1,1,3,2,3,1,1,1,1,3,2,3,1,1,3,3,2,1,2,3,3

%N 3 symbols taken seven at a time symmetrically.

%C This substitution gives a dragon like tile: aa=p[6]; bb = aa /. 1 -> {-1, N[Sqrt[3]]}/2 /. 2 -> {-1, -N[Sqrt[3]]}/2 /. 3 -> {1, 0}; ListPlot[FoldList[Plus, {0, 0}, bb], PlotJoined -> False, PlotRange -> All, Axes -> False];

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

%t s[1] = {1, 1, 3, 2, 3, 1, 1}; s[2] = {2, 2, 1, 3, 1, 2, 2}; s[3] = {3, 3, 2, 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[3]

%K nonn,uned

%O 0,3

%A _Roger L. Bagula_, May 13 2005

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Last modified December 5 00:21 EST 2021. Contains 349530 sequences. (Running on oeis4.)