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Define the morphism f: 1->111112, 2->22223, 3->1; sequence gives trajectory of 1 under f.
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%I #9 Oct 02 2016 10:19:21

%S 1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,

%T 3,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,

%U 2,3,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1

%N Define the morphism f: 1->111112, 2->22223, 3->1; sequence gives trajectory of 1 under f.

%C An inflation rule which does not produce quasiperiodicity.

%D E. Bombieri and J. Taylor, Which distribution of matter diffracts? An initial investigation, in International Workshop on Aperiodic Crystals (Les Houches, 1986), J. de Physique, Colloq. C3, 47 (1986), C3-19 to C3-28.

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

%t Nest[Flatten[ # /. {1 -> {1, 1, 1, 1, 1, 2}, 2 -> {2, 2, 2, 2, 3}, 3 -> 1}] &, {1}, 3] (* _Robert G. Wilson v_, May 16 2005 *)

%K nonn

%O 0,6

%A _N. J. A. Sloane_, May 16 2005