Champernowne constant

In mathematics, the Champernowne constant C10 is a transcendental real constant whose decimal expansion has important properties. It is named after economist and mathematician D. G. Champernowne, who published it as an undergraduate in 1933. For base 10, the number is defined by concatenating representations of successive integers: C10 = 0.12345678910111213141516…  (sequence in the OEIS). Champernowne constants can also be constructed in other bases, similarly, for example: C2 = 0.11011100101110111… 2C3 = 0.12101112202122… 3. The Champernowne constants can be expressed exactly as infinite series:

Champernowne constant

In mathematics, the Champernowne constant C10 is a transcendental real constant whose decimal expansion has important properties. It is named after economist and mathematician D. G. Champernowne, who published it as an undergraduate in 1933. For base 10, the number is defined by concatenating representations of successive integers: C10 = 0.12345678910111213141516…  (sequence in the OEIS). Champernowne constants can also be constructed in other bases, similarly, for example: C2 = 0.11011100101110111… 2C3 = 0.12101112202122… 3. The Champernowne constants can be expressed exactly as infinite series: