What's this number called and what are its properties? What is the following number called and what are its known properties?
$$.12233344445555566666677777778888888899999999910101010101010101010...$$
(I think you get the pattern.)

P.S.Also, see what I did with the integer part there? :)
It shares thematic similarity w/ the "look and say sequence" described by John Horton Conway in the mid 1980s. That's a pyramid where every row beneath the first one 'describes' the previous row (e.g. The second row '1 1' describes the first row '1' when spoken as "one one").
It shares thematic similarity w/ the "look and say sequence" described by John Horton Conway in the mid 1980s. That's a pyramid where every row beneath the first one 'describes' the previous row (e.g. The second row '1 1' describes the first row '1' when spoken as "one one").