[0, 0, 0, 4, 9, 36, 78, 144, 171, 156, 90, 36, 5]
[0, 0, 1, 0, 15, 30, 87, 132, 180, 150, 96, 32, 6]
[0, 1, 0, 0, 0, 66, 66, 132, 165, 165, 110, 12, 12]
[1, 0, 0, 0, 0, 0, 264, 0, 0, 440, 0, 0, 24]