Counting spin degeneracies

Let’s say that given an ensemble of $N$ spin-1 particles, I want to find the number of degeneracies. For this example, let’s just assume that only the spin of the particle gives us degeneracies.

For $N=1$, this is easy since there are only three possibilities since spin-1 particles break into three other possibilities -1 or 0 or 1. For $N=2$, I count 6 degeneracies (-1,-1),(-1,0),(-1,1),(0,0),(1,1),(0,1). I want to be able to generalize this for $N$ particles. How about do I go about doing this?