The terms of the given sequence is formed by representing the decimal number 53 is the bases 7,6,5,4,3,2 in turn. Each number is describing the number 53 (base 10) in different bases. (7,6,5,4,3,2).
The decimal number 53 is written as 110101 in the binary system.
Consequently, the required next number in the sequence is 110101.
Puzzle Solution
