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Search: id:A106704
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| A106704 |
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6-symbol substitution from S[n] Coxeter diagram with n=4. |
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+0
1
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| 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 5, 5, 5, 4, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 5, 5, 5, 4, 5, 5
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Characteristic Polynomial n=4: x6-14*x4+56*x2-64 These Coxter diagrams behave very much like odd even blocks or branches.
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REFERENCES
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S[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->{5, 6}, 2->{5}*n, 3->{4, 5}, 4->{3}*n, 5->{1, 2, 3}, 6->{1}*n
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MATHEMATICA
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n0=6; n=4; s[1] = {5, 6}; s[2] = Table[If[i <= n, 5, {}], {i, 1, n0}]; s[3] = {4, 5}; s[4] = Table[If[i <= n, 3, {}], {i, 1, n0}]; s[5] = {1, 2, 3}; s[6] = Table[If[i <= n, 1, {}], {i, 1, n0}]; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[5]
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CROSSREFS
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Sequence in context: A011004 A071629 A087496 this_sequence A127205 A006944 A010717
Adjacent sequences: A106701 A106702 A106703 this_sequence A106705 A106706 A106707
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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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