Suppose we denote two digits in such numbers simply as 0 and 1 and consider their sequence.
For a number
$6676767776777676766677777677677$ this is
${0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1}$
I wonder what the properties of this sequence are?
Will it be like Thue-Morse, or smth like this...