Definition:Champernowne Constant

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The Champernowne constant is the real number whose decimal expansion is formed by concatenating the positive integers in asccending order:

$C_{10} = 0 \cdotp 12345 \, 67891 \, 01112 \, 13141 \, 51617 \, 18192 \, 02122 \ldots$

This sequence is A033307 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Also known as

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

Also see

Source of Name

This entry was named for David Gawen Champernowne.