login
Trajectory of 12 under the morphism f: X -> XYX, where Y=1 if X contains an odd number of 1's, otherwise Y = 2.
2

%I #7 Aug 22 2018 20:44:50

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

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

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

%N Trajectory of 12 under the morphism f: X -> XYX, where Y=1 if X contains an odd number of 1's, otherwise Y = 2.

%D Karamanos, Kostas. "From symbolic dynamics to a digital approach." International Journal of Bifurcation and Chaos 11.06 (2001): 1683-1694. (Full version. See p. 1685)

%D Karamanos, K. (2000). From symbolic dynamics to a digital approach: chaos and transcendence. In Michel Planat (Ed.), Noise, Oscillators and Algebraic Randomness (Lecture Notes in Physics, pp. 357-371). Springer, Berlin, Heidelberg. (Short version. See p. 359)

%Y This is the limit of A317958(n) for large n.

%Y A317961 is the same sequence over the alphabet (1,0).

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Aug 22 2018