I wonder what the graphing of these frequency is all about? Is it something in nature? See ![pattern]

Suppose we would like to find positive integers $n$ such that the base-10 representations of $n$ and $2n$ contain precisely the same digits. $142857$ is a well-known example, and computer search quickly produces many others, of which the smallest is $125874$. In fact, there are 12 solutions of ...