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Search: id:A105315
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| A105315 |
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Limited tetrahedron digraph 4-symbol substitution : characteristic polynomial: x^4-2*x-1. Each edge is taken only once. |
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+0
1
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| 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 4, 4, 1, 2, 3, 2, 3, 3, 4, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 1, 2, 3, 2, 3, 3, 4, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 2, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 3, 4, 4, 4, 1, 1, 4, 1, 1, 1, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 4, 4, 2, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 2, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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I've found two other matrix isomers of this sequence with the same characteristic polynomial: 1->{2,3} 2->{3} 3-{4} 4->{1,2} and: 1->{2,4} 2->{3} 3->{1,4} 4->{2}
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FORMULA
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1->{2, 3}, 2->{3, 4}, 3->{4}, 4->{1}
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MATHEMATICA
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s[1] = {2, 3}; s[2] = {3, 4}; s[3] = {4}; s[4] = {1}; 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, 4}]]
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CROSSREFS
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Sequence in context: A059832 A105316 A105933 this_sequence A130830 A131989 A065365
Adjacent sequences: A105312 A105313 A105314 this_sequence A105316 A105317 A105318
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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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