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

0,3

Links

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

Wikipedia, Pentomino

Example

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

Crossrefs

Column k=4 of A278657.

Sequence in context: A171445 A359097 A264274 * A053805 A240846 A228255

Adjacent sequences: A278873 A278874 A278875 * A278877 A278878 A278879

Keyword

nonn

Author

Alois P. Heinz, Nov 29 2016

Status

approved