The Thue constant is the transcendental number with binary expansion
 |
(1)
|
(OEIS A014578), where, for positive integers 
,
the 
th bit is 1 if
is not divisible
by 3 and is the ones' complement of the 
th bit if 
is divisible by 3. The initial
zero in OEIS A014578
is not a bit of the fractional binary
expansion. It is also given by iterating the substitution
system starting with 1
 |  |  |
(2)
|
 |  |  |
(3)
|
Interpreted as a decimal number, the Thue constant equals 0.8590997968...(OEIS A074071).
