A247103 Number of tilings of a 5 X n rectangle using n pentominoes of shapes I, N, P, U, T.

1, 1, 3, 11, 33, 166, 589, 2216, 8935, 33984, 137056, 539085, 2100341, 8324716, 32607928, 128652672, 507032667, 1992083368, 7853132654, 30894420646, 121642017784, 479048967517, 1885229164497, 7423732617043, 29223734864421, 115048209160729, 452968829090506

Offset

0,3

Links

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

Wikipedia, Pentomino

Example

a(3) = 11:
._____.     ._____.     ._____.     ._____.
| | | |     |   | |     | |   |     |_.   |
| | | |     | ._| |     | | ._|     | |___|
| | | |     |_| ._|     | |_| |     | .___|
| | | |     | |_| |     | |   |     |_|   |
|_|_|_| (1) |_____| (4) |_|___| (4) |_____| (2) .

Crossrefs

Cf. A174249, A233427, A247196.

Sequence in context: A032199 A018413 A004662 * A036542 A084266 A357592

Adjacent sequences: A247100 A247101 A247102 * A247104 A247105 A247106

Keyword

nonn

Author

Alois P. Heinz, Nov 20 2014

Status

approved