Definition:Champernowne Constant

Definition
The Champernowne constant is the real number whose decimal expansion is formed by concatenating the positive integers in asccending order:
 * $C_{10} = 0 \cdotp 12345 \, 67891 \, 01112 \, 13141 \, 51617 \, 18192 \, 02122 \ldots$

Also known as
The Champernowne constant is also known as Mahler's number for, who proved it transcendental in $1937$.

Also see

 * Champernowne Constant is Transcendental
 * Champernowne Constant is Normal