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Thue Constant


The base-2 transcendental number

 0.11011011111011011111..._2
(1)

(OEIS A014578), where the nth 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 system

0->111
(2)
1->110.
(3)

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


See also

Rabbit Constant, Thue Sequence, Thue-Morse Constant

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References

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

Referenced on Wolfram|Alpha

Thue Constant

Cite this as:

Weisstein, Eric W. "Thue Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ThueConstant.html

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