A233290 Number of tilings of a 6 X n rectangle with 2n trominoes of any shape.

1, 1, 11, 170, 939, 8342, 80092, 614581, 5271923, 45832761, 379419508, 3223419241, 27438555522, 231096250072, 1958024834151, 16593169804557, 140295718998907, 1187830239559588, 10056816580083721, 85104482994177208, 720410915948382970, 6098207777286812381

Offset

0,3

Links

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

Vaclav Kotesovec, Recurrence (of order 126) and G.f.

Wikipedia, Tromino

Example

a(2) = 11:
.___. .___. .___. .___. .___. .___. .___. .___. .___. .___. .___.
| | | | ._| |_. | | ._| | | | |_. | | | | |_. | | ._| | ._| |_. |
| | | |_| | | |_| |_| | | | | | |_| | | | | |_| |_| | |_| | | |_|
|_|_| |___| |___| |___| |_|_| |___| |_|_| |___| |___| | | | | | |
| | | | ._| |_. | | | | | ._| | | | |_. | | ._| |_. | | |_| |_| |
| | | |_| | | |_| | | | |_| | | | | | |_| |_| | | |_| |_| | | |_|
|_|_| |___| |___| |_|_| |___| |_|_| |___| |___| |___| |___| |___|.

Crossrefs

Column k=6 of A233320.

Cf. A134438, A215826, A269664.

Sequence in context: A255971 A157944 A362501 * A167245 A331929 A205087

Adjacent sequences: A233287 A233288 A233289 * A233291 A233292 A233293

Keyword

nonn

Author

Alois P. Heinz, Dec 06 2013

Status

approved