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Search: id:A106581
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| A106581 |
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Alternating two level four-symbol substitution: characteristic polynomial: x^2*(x^2-3). |
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+0
1
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| 2, 4, 3, 1, 2, 2, 2, 4, 3, 1, 4, 3, 1, 4, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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A triangle shaped digraph with one central point. Triangular levels as: {2}, {4, 3, 1}, {2, 2, 2}, {4, 3, 1, 4, 3, 1, 4, 3, 1}, {2, 2, 2, 2, 2, 2, 2, 2, 2}, {4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 3,1, 4, 3,1}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,2, 2, 2,2}
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FORMULA
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1->{2}, 2->{1, 3, 4}, 3->{2}, 4-{2}
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MATHEMATICA
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s[1] = {2}; s[2] = {4, 3, 1}; s[3] = {2}; s[4] = {2}; t[a_] := Flatten[s /@ a]; p[0] = {2}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] a0 = Table[p[i], {i, 0, 7}] MatrixForm[a0] aa = Flatten[a0]
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CROSSREFS
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Sequence in context: A019641 A085008 A134893 this_sequence A070402 A125941 A071284
Adjacent sequences: A106578 A106579 A106580 this_sequence A106582 A106583 A106584
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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 09 2005
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