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

Offset: 0

Author

Alois P. Heinz, May 20 2017

Keywords

• nonn
• tabf

Examples

			Triangle T(n,k) begins:
1;
1,  1;
1, 12,  42,   44,     9;
1, 33, 436, 2984, 11434, 24766, 29180, 16984, 3993, 229;
		

Links

• Alois P. Heinz, Rows n = 0..8, flattened

Crossrefs

Columns k=0-1 give: A000012, A051624.

Row sums give A287153.

T(n,n^2) gives A181205.