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Search: id:A105316
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| A105316 |
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Null vertex tetrahedron digraph 4-symbol substitution : characteristic polynomial: x^4-x. Each edge is taken only once. |
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1
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| 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 4, 1, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 1, 3, 1, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 1, 3, 2, 3, 3, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 3, 2, 3, 1, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 1, 3, 2, 3, 3, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 3, 2, 3, 3
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OFFSET
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0,3
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COMMENT
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There are four matrix isomers of these and they are equivalent in polynomials to the substitution: 1-> {2,3,4} 2->{3} 3->{4} 4->{1} of which there are also four kinds.
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FORMULA
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1->{2, 3}, 2->{3, 4}, 3->{}, 4->{1, 4}
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MATHEMATICA
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s[1] = {2, 3}; s[2] = {3, 4}; s[3] = {}; s[4] = {1, 4}; t[a_] := Join[a, Flatten[s /@ a]]; p[0] = {1}; p[1] = t[{1}]; p[n_] := t[p[n - 1]] aa = Flatten[Table[p[n], {n, 0, 6}]]
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CROSSREFS
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Sequence in context: A106590 A054073 A059832 this_sequence A105933 A105315 A130830
Adjacent sequences: A105313 A105314 A105315 this_sequence A105317 A105318 A105319
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 25 2005
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