Barbier infinite word | concatenated number sequences | concatenation sequences

Champernowne's constant C = 0.123457... (OEIS A033307) is the number obtained by concatenating the positive integers and interpreting them as decimal digits to the right of a decimal point. It is normal in base 10 (Champernowne 1933, Bailey and Crandall 2002). Mahler showed it to also be transcendental. The constant has been computed to 6×10^10 digits by E. W. Weisstein (Jul. 3, 2013) using the Wolfram Language. The infinite sequence of digits in Champernowne's constant is sometimes known as Barbier's infinite word (Allouche and Shallit 2003, pp. 114, 299 and 334).

binary Champernowne constant | Champernowne constant continued fraction | Champernowne constant digits | consecutive number sequences | Copeland-Erdős constant | Smarandache number | Smarandache sequences | ternary Champernowne constant