Champernowne constant

Champernowne the number is a real number in the range of number theory. It is named after the mathematician David Gawen Champernowne, in 1933 for the first time published the explicit construction of a normal number. The decimal digit sequence A033307 in OEIS is the result. Kurt Mahler showed in 1937 that this is a transcendental number.

It is formed by the " juxtaposition " of the natural numbers as a decimal point. Before the decimal point is a zero.

In the decimal are the first points of the Champernowne number:

They may also be expressed as a series of:

The presentation of the Champernowne number as an infinite continued fraction has in the wake of the quotient in decimal system on big jumps, where large follow several very small quotient greatly.