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arrange the numbers 1, 2, 3, .. , 15 in some order

Source: 2019 Dürer Math Competition Finals Day2 E12 https://artofproblemsolving.com/community/c1621835_2019_

January 5, 2022
combinatorics

Problem Statement

How many ways are there to arrange the numbers 1,2,3,..,151, 2, 3, .. , 15 in some order such that for any two numbers which are 22 or 33 positions apart, the one on the left is greater?
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