A278876 Number of tilings of a 4 X n rectangle using pentominoes of any shape and monominoes.

1, 1, 25, 311, 4101, 56864, 728857, 9616962, 127040707, 1669454156, 22011707486, 289906000417, 3817261693883, 50281947199556, 662232832054368, 8721984517729672, 114875834939622917, 1512983475914685706, 19927016855891011234, 262452496836729312910

Offset: 0

Author

Alois P. Heinz, Nov 29 2016

Keywords

• nonn

Examples

			a(2) = 25:
.___. .___. .___. .___. .___. .___. .___. .___.
| ._| |_|_| |_. | |_|_| | |_| |_| | | ._| |_. |
| |_| | ._| |_| | |_. | | |_| |_| | | |_| |_| |
|___| | |_| |___| |_| | | |_| |_| | | |_| |_| |
|_|_| |___| |_|_| |___| |___| |___| |_|_| |_|_|
.___. .___. .___. .___. .___. .___. .___. .___.
|   | |_|_| |   | |_|_| | |_| |_|_| |_| | |_|_|
| ._| |   | |_. | |   | |   | | |_| |   | |_| |
|_|_| | ._| |_|_| |_. | |___| |   | |___| |   |
|_|_| |_|_| |_|_| |_|_| |_|_| |___| |_|_| |___|
.___. .___. .___. .___. .___. .___. .___. .___. .___.
| |_| |_| | | |_| |_| | | |_| |_| | |_| | | |_| |_|_|
| |_| |_| | | ._| |_. | | |_| |_| | | ._| |_. | |_|_|
| ._| |_. | | |_| |_| | |_. | | ._| | |_| |_| | |_|_|
|_|_| |_|_| |_|_| |_|_| |_|_| |_|_| |_|_| |_|_| |_|_| .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..893
• Wikipedia, Pentomino

Crossrefs

Column k=4 of A278657.