A107335 Count down Pisot cubic substitution with characteristic polynomial:x^3-3*x^2-2*x-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, 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

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: A369605 A085747 A106693 * A341850 A341847 A200223

Adjacent sequences: A107332 A107333 A107334 * A107336 A107337 A107338

Keyword

nonn,uned

Author

Roger L. Bagula, May 22 2005

Status

approved