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Search: id:A106705
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| A106705 |
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8-symbol substitution from X[n] Coxeter diagram with n=4. |
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+0
1
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| 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 3, 1, 2
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Characteristic Polynomial n=4: x8-20*x6+128*x4-320*x2+256 This Coxter diagram behaves very much like odd even blocks or branches. This program shows the triangular nature of the output.
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REFERENCES
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X[n] substitutions of the Coxeter diagram from the McMullen article.
Curtis McMullen, Prym varieties and Teichmueller curves, May 04, 2005
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FORMULA
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1->{7}*n, 2->{5.6, 7}, 3->{6, 7, 8}, 4->{6}*n, 5->{2}*n, 6->{2, 3, 4}, 7->{1, 2, 3}, 8->{3}*n
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MATHEMATICA
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n0=8; n=4; s[1] = Table[If[i <= n0, 7, {}], {i, 1, n0}]; s[2] = {5, 6, 7}; s[ 3] = {6, 7, 8}; s[4] = Table[If[i <= n, 6, {}], {i, 1, n0}]; s[5] = Table[If[i <= n, 2, {}], {i, 1, n0}]; s[6] = {2, 3, 4}; s[7] = {1, 2, 3}; s[8] = Table[If[i <= n, 3, {}], {i, 1, n0}]; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = Flatten[Table[p[n], {n, 0, 3}]]
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CROSSREFS
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Sequence in context: A083947 A112114 A031182 this_sequence A010727 A108689 A024583
Adjacent sequences: A106702 A106703 A106704 this_sequence A106706 A106707 A106708
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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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