Thue Constant

The base-2 Transcendental Number

$$0.11011011111011011111\ldots_2,$$

where the $n$th bit is 1 if $n$ is not divisible by 3 and is the complement of the $(n/3)$th bit if $n$ is divisible by 3. It is also given by the Substitution Map

$$0 \to 111$$

$$1 \to 110.$$

In decimal, the Thue constant equals 0.8590997969....

See also Rabbit Constant, Thue-Morse Constant