Distinguishability o.O

How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable but the boxes are not?

any HINTS?

I know we have 

4:0:0 | 1 way

3:1:0 | 4 ways 

2:2:0 | 3 ways (???)

2:1:1 | 6 ways (???)

some things I'm not sure though...