Editing Prouhet–Thue–Morse constant (section)

In [[mathematics]], the '''Prouhet–Thue–Morse constant''', named for {{ill|Eugène Prouhet|fr}}, [[Axel Thue]], and [[Marston Morse]], is the number—denoted by {{mvar|τ}}—whose [[binary expansion]] 0.01101001100101101001011001101001... is given by the [[Prouhet–Thue–Morse sequence]].  That is,
:<math> \tau = \sum_{n=0}^{\infty} \frac{t_n}{2^{n+1}} = 0.412454033640 \ldots </math>
where {{math|''t<sub>n</sub>''}} is the {{math|''n''<sup>th</sup>}} element of the Prouhet–Thue–Morse sequence.