A106686 Triple loop substitution of eight symbols: characteristic polynomial: x^2*(x^3-x-1)*(x-1)*(x^2+x+1).

1, 3, 3, 2, 4, 3, 2, 4, 2, 4, 1, 6, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 2, 4, 1, 6, 1, 6, 3, 7, 8, 1, 6, 3, 7, 8, 3, 7, 8, 2, 4, 8, 6, 3, 2, 4, 2, 4, 1, 6, 2, 4, 1, 6, 1, 6, 3, 7, 8, 2, 4, 1, 6, 1, 6, 3, 7, 8, 1, 6, 3, 7, 8, 3, 7, 8, 2, 4, 8, 6, 2, 4, 1

Offset

0,2

Links

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

Formula

1->{3}, 2->{1}, 3->{2, 4}, 4->{6}, 5->{3}, 6->{7, 8}, 7->{8} 8->{6}

Mathematica

s[1] = {3}; s[2] = {1}; s[3] = {2, 4}; s[4] = {6}; s[5] = {3}; s[6] = {7, 8}; s[7] = {8}; s[8] = {6}; t[a_] := Join[a, Flatten[s /@ a]]; p[0] = {1}; p[1] = t[{1}]; p[n_] := t[p[n - 1]] aa = p[6]

Crossrefs

Sequence in context: A207335 A049604 A247509 * A106702 A303338 A271510

Adjacent sequences: A106683 A106684 A106685 * A106687 A106688 A106689

Keyword

nonn,uned

Author

Roger L. Bagula, May 13 2005

Status

approved