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1992−th term of the ordered set A of all ordered sequences (a_1,a_2,...,a_{11})

Source: Romania IMO TST 1992 p4

February 19, 2020
Sequencecombinatoricsalgebraset

Problem Statement

Let AA be the set of all ordered sequences (a1,a2,...,a11)(a_1,a_2,...,a_{11}) of zeros and ones. The elements of AA are ordered as follows: The first element is (0,0,...,0)(0,0,...,0), and the n+1n + 1−th is obtained from the nn−th by changing the first component from the right such that the newly obtained sequence was not obtained before. Find the 19921992−th term of the ordered set AA
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