A247196 Number of tilings of a 5 X n rectangle using n pentominoes of shapes T, I, P.

1, 1, 3, 7, 17, 78, 199, 638, 1865, 5332, 17250, 50877, 156787, 475348, 1423432, 4367178, 13182353, 40122074, 121916294, 369052634, 1122475534, 3403574961, 10335095973, 31385295907, 95218937465, 289154182737, 877572289140, 2663965244527, 8087517963748

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Pentomino

Example

a(3) = 7:
._____. ._____. ._____. ._____. ._____. ._____. ._____.
|_.   | | |   | | | | | | |   | |   | | |   | | |   ._|
| |___| | | ._| | | | | | |_. | |_. | | | ._| | |___| |
| .___| | |_| | | | | | | | |_| | |_| | |_| | | |___. |
|_|   | | |   | | | | | | |   | |   | | |   | | |   |_|
|_____| |_|___| |_|_|_| |_|___| |___|_| |___|_| |_____| .

Crossrefs

Cf. A174249, A233427, A246764, A247103.

Sequence in context: A047981 A042077 A264765 * A246764 A128343 A106877

Adjacent sequences: A247193 A247194 A247195 * A247197 A247198 A247199

Keyword

nonn

Author

Alois P. Heinz, Nov 24 2014

Status

approved