MathDB
ASU 370 All Soviet Union MO 1983 no of diff.segments in decimal repr.

Source:

July 28, 2019
decimal representationnumber theoryalgebraDigits

Problem Statement

The infinite decimal notation of the real number xx contains all the digits. Let unu_n be the number of different nn-digit segments encountered in xx notation. Prove that if for some nn, un≤(n+8)u_n \le (n+8), than xx is a rational number.
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