How many possible starting moves are there in Abalone?
I agree with 44.  Here's my break down:

Diagonal X2 (once for each diagonal direction):


6 moves with a single marble
5 in-line moves with 2 marbles
4 broadside moves with 2 marbles
3 in-line moves with 3 marbles
1 broadside move with 3 marbles


Horizontal


2 moves with a single marble
2 in-line moves with 2 marbles
2 in-line moves with 3 marbles


(6 + 5 + 4 + 3 + 1) * 2 + (2 + 2 + 2) = 44.