Self referential numbers

[lavalamp]

This was a puzzle that came up on an IRC channel some time ago, I thought I'd share it in here.

Try and compose a 10 digit number such that the first digit represents the number of zeroes in the number, the second digit represents the number of ones, the third represents the number of twos, etc.

It may help to start with a smaller base, though there are no solutions for those less than 4.

Here's an example of a base 4 solution:
1210

One zero, two ones, one two, and zero threes. There is another solution for four, and this is the only number (if I remember rightly) that has more than one.

Can anyone find the solutions from 4 - F?

[fivemack]

The boring solution for N>=7 is

(N-4) 2 1 {N-7 zeroes} 1 {3 zeroes}

The obvious iteration (N -> description(N)) gets stuck in a 2-cycle from lots of start points in base 10.