If we consider sequences as a round off series

Two adult integers dividing and generating round off.

The repeatable sequence grows as the denominator grows, is sort of the conjecture or part of it. That is how the denominator gained a dominate roll in limiting round off error in these Hurwitz type theorems. The longer the sequence, the more prime factors get used? The greater the accuracy?   In set grammar, the greater the customer crowd the greater the number of combinatorials to be had. Or, demand has more bandwidth than supply.