Smarandache consecutive number

Consider the consecutive number sequences formed by the concatenation of the first n positive integers: 1, 12, 123, 1234, ... (OEIS A007908; Smarandache 1993, Dumitrescu and Seleacu 1994, sequence 1; Mudge 1995; Stephan 1998; Wolfram 2002, p. 913). This sequence gives the digits of the Champernowne constant, and is sometimes also known as the Barbier infinite word (Allouche and Shallit 2003, pp. 114, 299, and 336). The terms up to n = 9 are given by c_n | = | sum_(k = 1)^n k·10^(n - k) | = | 1/81(10^(n + 1) - 9n - 10).

Champernowne constant | Champernowne constant digits | consecutive number sequences | integer sequence primes | Smarandache prime | Smarandache sequences