- 765

- 12

I am interested in the following number which is obtained by concatenting the binary representations of the non-negative integers:

.011011100101110111...

i.e. dot 0 1 10 11 100 101 110 111 ...

This is a little bigger than .43 and I assume it irrational since no pattern of bits repeats forever. I assume that I am not the first to become interested in it, so I wonder if it has already been given a name.

.011011100101110111...

i.e. dot 0 1 10 11 100 101 110 111 ...

This is a little bigger than .43 and I assume it irrational since no pattern of bits repeats forever. I assume that I am not the first to become interested in it, so I wonder if it has already been given a name.

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