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

0,5

Links

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

Example

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

Crossrefs

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

Row sums give A287153.

T(n,n^2) gives A181205.

Sequence in context: A244793 A218712 A022672 * A109275 A360961 A241854

Adjacent sequences: A287149 A287150 A287151 * A287153 A287154 A287155

Keyword

nonn,tabf

Author

Alois P. Heinz, May 20 2017

Status

approved