Prouhet-Thue-Morse constant

The Prouhet-Thue-Morse constant is the number τ whose binary expansion is the Prouhet-Thue-Morse sequence. That is,


where ti is the Prouhet-Thue-Morse sequence

Another expression, not in of ti, is


The number τ has been shown to be transcendental.

Title Prouhet-Thue-Morse constant
Canonical name ProuhetThueMorseConstant
Date of creation 2013-03-22 14:28:23
Last modified on 2013-03-22 14:28:23
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 11J81
Classification msc 11B85
Related topic ProuhetThueMorseSequence
Defines Thue-Morse constant