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A105264
Theta(1) Pisot substitution level 7 : characteristic polynomial x^4-x^3-1=0.
0
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 1, 2, 3, 3, 4, 3, 4, 4, 4, 1, 3, 4, 4, 4, 1, 4, 4, 1, 4, 1, 4, 1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 1, 3, 4, 4, 4, 1, 4, 4, 1, 4, 1, 4, 1, 2, 3, 4, 4, 4, 1, 4, 4, 1, 4, 1, 4, 1, 2, 4, 4, 1, 4, 1, 4, 1, 2, 4, 1, 4, 1, 2, 4, 1, 2, 4, 1, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 1, 3, 4
OFFSET
0,2
COMMENTS
Program for getting Polynomial: s[1] = {2, 0, 0, 0}; s[2] = {3, 0, 0, 0}; s[3] = {4, 0, 0, 0}; s[4] = {4, 1, 0, 0}; M = Table[Table[Count[s[j], i], {i, 1, n0}], {j, 1, n0}] Det[M - x*IdentityMatrix[n0]]
LINKS
Eric Weisstein's World of Mathematics, Pisot Number
FORMULA
1->{2}, 2->{3}, 3->{4}, 4->{4, 1}
MATHEMATICA
s[1] = {2}; s[2] = {3}; s[3] = {4}; s[4] = {4, 1}; t[a_] := Join[a, Flatten[s /@ a]]; p[0] = {1}; p[1] = t[{1}]; p[n_] := t[p[n - 1]] aa = p[7]
CROSSREFS
Sequence in context: A348190 A211100 A329326 * A063787 A307092 A335458
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Apr 15 2005
STATUS
approved