Thue Constant

The base-2 transcendental number

(1)

(OEIS A014578), where the th bit is 1 if  is not divisible by 3 and is the complement of the th bit if  is divisible by 3. It is also given by the substitution system

			(2)
			(3)

Interpreted as a decimal number, the Thue constant equals 0.8590997969...(OEIS A074071).

REFERENCES:

Sloane, N. J. A. Sequences A014578 and A074071 in "The On-Line Encyclopedia of Integer Sequences."