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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 (list; graph; refs; listen; history; internal format)
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

Cf. A073058.

Sequence in context: A057941 A126071 A185166 * A063787 A182745 A129843

Adjacent sequences:  A105261 A105262 A105263 * A105265 A105266 A105267

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 15 2005

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.