A106653 Five-symbol substitution, characteristic polynomial: x^5-x^3-x^2-x-1.

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

Offset

0,2

Comments

Digraph matrix is: {{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, { 1, 1, 1, 1, 0}}

Links

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

Formula

1->{2}, 2->{3}, 3->{4}, 4->{5}, 5->{1, 2, 3, 4}

Mathematica

s[1] = {2}; s[2] = {3}; s[3] = {4}; s[4] = {5}; s[5] = {1, 2, 3, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[15]

Crossrefs

Sequence in context: A333609 A273149 A151925 * A173524 A049865 A070771

Adjacent sequences: A106650 A106651 A106652 * A106654 A106655 A106656

Keyword

nonn,uned

Author

Roger L. Bagula, May 12 2005

Status

approved