MathDB
2017 Theme #5

Source:

May 8, 2018
combinatorics

Problem Statement

Each of the integers 1,2,...,7291,2,...,729 is written in its base-33 representation without leading zeroes. The numbers are then joined together in that order to form a continuous string of digits: 12101112202122...12101112202122... How many times in this string does the substring 012012 appear?