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A106704 6-symbol substitution from S[n] Coxeter diagram with n=4. 0

%I #5 Jan 25 2014 16:35:27

%S 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,

%T 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,

%U 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

%N 6-symbol substitution from S[n] Coxeter diagram with n=4.

%C Characteristic Polynomial n=4: x6-14*x4+56*x2-64 These Coxeter diagrams behave very much like odd even blocks or branches.

%D S[n] substitutions of the Coxeter diagram from the McMullen article.

%D Curtis McMullen, Prym varieties and Teichmueller curves, May 04, 2005

%F 1->{5, 6}, 2->{5}*n, 3->{4, 5}, 4->{3}*n, 5->{1, 2, 3}, 6->{1}*n

%t 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]

%K nonn,uned

%O 0,1

%A _Roger L. Bagula_, May 09 2005

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)