A317957 Apply the morphism X -> XYX, where Y=1 if X contains an odd number of 1's, otherwise Y = 0 n times to 1, and concatenate the resulting string.

1, 101, 1011101, 101110101011101, 1011101010111011101110101011101, 101110101011101110111010101110101011101010111011101110101011101

Offset: 0

Author

N. J. A. Sloane, Aug 22 2018

Keywords

• nonn

References

• 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)
• 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)

Crossrefs

The limit of the terms is A035263.

A317956 is the same sequence over the alphabet {1,2}.