The sequence of middle divisors is unbounded

The sequence of middle divisors is unbounded - The sequence of middle divisors is shown to be unbounded. For a given number n, an,0 is the number of divisors of n in between n/2‾‾‾√ and 2n‾‾‾√. We explicitly construct a sequence of numbers n(i) and a list of divisors in the interesting range, so that the length of the list goes to infinity as i increases