A264765 Number of tilings of a 5 X n rectangle using n pentominoes of shapes Z, I, P.

1, 1, 3, 7, 17, 78, 195, 616, 1783, 5120, 16714, 48843, 150407, 453178, 1356478, 4174538, 12554221, 38233788, 115868736, 350343710, 1065875246, 3225913135, 9793613873, 29699991965, 90011535049, 273180669975, 828073217940, 2511974932751, 7618229843186

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, A234931, A247268, A247443, A249762, A264812.

Sequence in context: A357784 A047981 A042077 * A247196 A246764 A128343

Adjacent sequences: A264762 A264763 A264764 * A264766 A264767 A264768

Keyword

nonn

Author

Alois P. Heinz, Nov 23 2015

Status

approved