For this pattern you will need:

Waistcoat
32" Chest - 5 Balls
34" Chest - 5 Balls
36" Chest - 5 Balls
38" Chest - 6 Balls
40" Chest - 6 Balls
42" Chest - 7 Balls 

Slipover 
32" Chest - 4 Balls
34" Chest - 4 Balls
36" Chest - 4 Balls
38" Chest - 5 Balls
40" Chest - 5 Balls
42" Chest - 6 Balls

Pair of 4mm needles, Pair of 3.25mm needles, Circular 3.25mm needle.

Cable needle and stitch holders for slipover.
Button for waistcoat.