Counting

Find the number of arithmetic sequences such that:    
* The arithmetic sequence contains three terms    
* All the terms are integers in \{0, 1, 2, \dots, 10\}    

* The sum of the terms is 9.     

The ones I find are     0, 3, 6  and of course  6, 3, 0

                                   1, 3, 5  and  5, 3, 1     

                                   2, 3, 4  and  4, 3, 2     

                                   3, 3, 3  if it counts

I can't think of any more.  I found seven of them.    

_.