A fivey sequence is a sequence of positive integers whose terms add up to 5. For example, 2, 2, 1$ and $2, 1, 2 are two different fivey sequences. How many fivey sequences are there?
1,1,2 13
1,2,2
2,2,1
2,1,2
1,1,1,1,1
1,1,1,2
3,1,1
1,1,3
1,3,1
3,2
2,3
4,1
1,4
so 13