A106825 Trajectory of 1 under the morphism 1->1222, 2->2111.

1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2

Offset

0,2

Links

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

F. M. Dekking, Recurrent sets, Advances in Mathematics, vol. 44, no. 1 (1982), 78-104.

Index entries for sequences that are fixed points of mappings

Maple

subs({1=[1, 2, 2, 2], 2=[2, 1, 1, 1]}, 1): subs({1=[1, 2, 2, 2], 2=[2, 1, 1, 1]}, %): subs({1=[1, 2, 2, 2], 2=[2, 1, 1, 1]}, %): subs({1=[1, 2, 2, 2], 2=[2, 1, 1, 1]}, %); # remove all brackets from the output; Emeric Deutsch, May 31 2005

Mathematica

Nest[ Flatten[ # /. {1 -> {1, 2, 2, 2}, 2 -> {2, 1, 1, 1}}] &, {1}, 5] (* Robert G. Wilson v, Jun 20 2005 *)
SubstitutionSystem[{1->{1, 2, 2, 2}, 2->{2, 1, 1, 1}}, 1, 4]//Flatten (* Harvey P. Dale, Nov 20 2021 *)

Crossrefs

Sequence in context: A282542 A271518 A352629 * A156608 A368752 A323827

Adjacent sequences: A106822 A106823 A106824 * A106826 A106827 A106828

Keyword

nonn,easy

Author

N. J. A. Sloane, May 20 2005

Extensions

More terms from Emeric Deutsch, May 31 2005

Status

approved