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Search: id:A106049
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| A106049 |
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Silver dragon four-symbol substitution: characteristic polynomial:x^4-2x^3+x^2-4. |
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+0
1
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| 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 2, 1, 2, 1, 4, 3, 4, 1, 4, 3, 4, 3, 2, 1, 2, 3, 4, 3, 4, 1, 4, 3, 4, 1, 2, 1, 2, 1, 4, 3, 4, 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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Entirely new dragon that tiles with self-similar voids: Level 16 to see it: bb = aa /. 1 -> {1, 0} /. 2 -> {0, 1} /. 3 -> {-1, 0} /. 4 -> {0, -1}; ListPlot[FoldList[Plus, {0, 0}, bb], PlotRange -> All, PlotJoined -> True, Axes -> False];
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FORMULA
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1->{2, 1, 2}, 2->{3}, 3->{4, 3, 4}, 4->{1}
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MATHEMATICA
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s[1] = {2, 1, 2}; s[2] = {3}; s[3] = {4, 3, 4}; s[4] = {1}; 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: A082125 A058290 A002285 this_sequence A136627 A108171 A106055
Adjacent sequences: A106046 A106047 A106048 this_sequence A106050 A106051 A106052
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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 06 2005
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