[0, 0, 1, 6, 21, 60, 123, 174, 174, 114, 48, 8]
[0, 1, 0, 0, 30, 66, 108, 180, 165, 135, 32, 12]
[1, 0, 0, 0, 0, 132, 132, 0, 330, 110, 0, 24]