A187618 Triangle T(m,n) read by rows: number of domino tilings of the 2m X 2n grid (0 <= m <= n).

1, 1, 2, 1, 5, 36, 1, 13, 281, 6728, 1, 34, 2245, 167089, 12988816, 1, 89, 18061, 4213133, 1031151241, 258584046368, 1, 233, 145601, 106912793, 82741005829, 65743732590821, 53060477521960000, 1, 610, 1174500, 2720246633, 6675498237130, 16848161392724969, 43242613716069407953, 112202208776036178000000

Offset

0,3

Comments

A099390 is the main entry for this problem.

Links

Alois P. Heinz, Rows n = 0..14, flattened

Index entries for sequences related to dominoes

Example

Triangle begins:
1
1       2
1       5       36
1       13      281     6728
1       34      2245    167089  12988816
1       89      ...

Crossrefs

Cf. A099390, A187596, A187616, A187617.

Sequence in context: A075403 A260503 A236436 * A320101 A343018 A323500

Adjacent sequences: A187615 A187616 A187617 * A187619 A187620 A187621

Keyword

nonn,tabl

Author

N. J. A. Sloane, Mar 12 2011

Extensions

More terms from Nathaniel Johnston, Mar 22 2011

Status

approved