Numbers whose squares start with 4 identical digits, with 5, with 6...

[Hans Havermann]

Thank you Hans Havermann.  That frequency of the digits 1-9 looks a
little like Zipf's Law or Benford's Law.

So OEIS does not yet have the sequnce where a(n) is the smallest
integer whose n-th power begins with n identical digits, base 10?