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A107335 Count down Pisot cubic substitution with characteristic polynomial:x^3-3*x^2-2*x-1. 0
1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

x^3-D[x^3+x^2+x+1,x]=:x^3-3*x^2-1*x-1 (x-1)*(x^3+x^2+x+1)=x^4-1

LINKS

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

FORMULA

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

MATHEMATICA

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

CROSSREFS

Sequence in context: A309698 A085747 A106693 * A200223 A236228 A082391

Adjacent sequences:  A107332 A107333 A107334 * A107336 A107337 A107338

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, May 22 2005

STATUS

approved

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Last modified August 11 08:50 EDT 2020. Contains 336422 sequences. (Running on oeis4.)