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A317959 Apply the morphism X -> XYX, where Y=1 if X contains an odd number of 1's, otherwise Y = 0 n times to 10, and concatenate the resulting string. 2

%I

%S 10,10010,10010110010,10010110010110010110010,

%T 10010110010110010110010010010110010110010110010,

%U 10010110010110010110010010010110010110010110010110010110010110010110010010010110010110010110010

%N Apply the morphism X -> XYX, where Y=1 if X contains an odd number of 1's, otherwise Y = 0 n times to 10, and concatenate the resulting string.

%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 The limit of the terms is A317961.

%Y A317958 is the same sequence over the alphabet {1,2}.

%K nonn

%O 0,1

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

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Last modified November 28 03:39 EST 2022. Contains 358406 sequences. (Running on oeis4.)