login
A106655
Four-symbol substitution, characteristic polynomial: x^4-x^3-1.
0
4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 4, 3, 2, 1, 4
OFFSET
0,1
COMMENTS
This substitution is associated with the Theta(1) Pisot number. Digraph matrix is: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, 0, 1}}
FORMULA
1->{2}, 2->{3}, 3->{4}, 5->{1, 4}
MATHEMATICA
s[1] = {2}; s[2] = {3}; s[3] = {4}; s[4] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[19]
CROSSREFS
Sequence in context: A369826 A093580 A196535 * A105313 A085064 A030587
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, May 12 2005
STATUS
approved