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Search: id:A106693
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| A106693 |
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3 symbols taken seven at a time symmetrically. |
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+0 1
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| 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, 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, 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
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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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];
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FORMULA
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1->{1, 1, 3, 2, 3, 1, 1}, 2->{2, 2, 1, 3, 1, 2, 2}, 3->{3, 3, 2, 1, 2, 3, 3}
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MATHEMATICA
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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]
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CROSSREFS
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Sequence in context: A166592 A103497 A085747 this_sequence A107335 A082391 A046818
Adjacent sequences: A106690 A106691 A106692 this_sequence A106694 A106695 A106696
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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 13 2005
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