A106599 Two block six-symbol substitution : n=1.

1, 5, 6, 3, 1, 2, 5, 5, 6, 4, 3, 3, 1, 2, 2, 5, 5, 5, 6, 4, 4, 3, 3, 3, 1, 2, 2, 2, 5, 5, 5, 5, 6, 4, 4, 4, 3, 3, 3, 3, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 3, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 4, 4, 4

Offset

0,2

Comments

Removing two links in the digraph makes it a line. Characteristic Polynomial:x^6-3*x^4+3*x^2-1 Triangular form: ( half even/ half odd) {1}, {5, 6}, {3, 1, 2} {5, 5, 6, 4} {3, 3, 1, 2, 2} {5, 5, 5, 6, 4, 4} {3, 3, 3, 1, 2, 2, 2} {5, 5, 5, 5, 6, 4, 4, 4}

References

Curtis McMullen, Prym varieties and Teichmuller curves.

Links

Table of n, a(n) for n=0..104.

Formula

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

Mathematica

n0=6; n=1; s[1] = {5, 6}; s[2] = Table[If[i <= n, 4, {}], {i, 1, n0}]; s[3] = Table[If[i <= n, 5, {}], {i, 1, n0}]; s[4] = Table[If[i <= n, 2, {}], {i, 1, n0}];; s[5] = Table[If[i <= n, 3, {}], {i, 1, n0}]; s[6] = {1, 2}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = Table[p[i], {i, 0, 20}]; MatrixForm[aa] aaa = Flatten[aa]

Crossrefs

Sequence in context: A226533 A011499 A242813 * A342015 A222466 A195448

Adjacent sequences: A106596 A106597 A106598 * A106600 A106601 A106602

Keyword

nonn,uned

Author

Roger L. Bagula, May 10 2005

Status

approved