Cellular auto : rule 30 number ?

[tommy1729]

consider rule 30 starting from a single black cell.

Clearly from left to right there is convergeance to a number in the sense that

If the pattern of black and white is considered as the binary expansion after the binary dot.


We then get a number T such that 1/2 < T < 1.

Can this number be given by calculus ?

Or by dynamics ?


Regards

Tommy1729