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%I
%S 0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,1,
%T 0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,3,0,1,0,2,
%U 0,1,0,3,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,1,0,1,0,2
%N Fixed point of the morphism 0->01, 1->02, 2->03, 3->01.
%C See A191250.
%t t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {0, 3}, 3 -> {0, 1}}] &, {0}, 9] (* A191255 *)
%t Flatten[Position[t, 0]] (* A005408, the odds *)
%t a = Flatten[Position[t, 1]] (* A067368 conjectured *)
%t b = Flatten[Position[t, 2]] (* A191256 *)
%t a/2 (* A191257 *)
%t b/4 (* a/2 ? *)
%Y Cf. A191250, A191256, A191257.
%K nonn
%O 1,4
%A _Clark Kimberling_, May 28 2011
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