A287152

Number T(n,k) of tilings of a 2 X n X n box using k bricks of shape 2 X 1 X 1 and 2*(n^2-k) bricks of shape 1 X 1 X 1; triangle T(n,k), n>=0, 0<=k<=n^2, read by rows.

1, 1, 1, 1, 12, 42, 44, 9, 1, 33, 436, 2984, 11434, 24766, 29180, 16984, 3993, 229, 1, 64, 1816, 30208, 328214, 2456736, 13022504, 49492032, 135062729, 262610832, 357580896, 331384336, 200032432, 73483328, 14707328, 1308928, 32000, 1, 105, 5112, 153364, 3178256

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