A354119 Number of tilings of an n X n square using right trominoes, dominoes, and 2 X 2 tiles.

1, 0, 3, 8, 702, 41952, 16600824, 13298557992, 43157780553934, 388059824658319728, 12013678896331086695556, 1135287009899570278101009440, 350469343280046907242548361992474, 340321401792584726949313213285940152032, 1061786528674829112355995668763159293494203380

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..16

Wikipedia, Polyomino

Formula

a(n) = A354010(n,n).

Example

a(2) = 3:
   .___.    .___.    .___.
   |   |    |___|    | | |
   |___|    |___|    |_|_|  .
a(3) = 8:
  ._____.  ._____.  ._____.  ._____.
  |___| |  |_. | |  |___| |  |___| |
  | ._|_|  | |_|_|  | |___|  | | |_|
  |_|___|  |_|___|  |_|___|  |_|___|
  ._____.  ._____.  ._____.  ._____.
  | |___|  | |___|  | |___|  | | ._|
  |___| |  |_| | |  |_|_. |  |_|_| |
  |___|_|  |___|_|  |___|_|  |___|_|  .

Crossrefs

Main diagonal of A354010.

Cf. A219994.

Sequence in context: A162185 A297527 A268141 * A278974 A063103 A058847

Adjacent sequences: A354116 A354117 A354118 * A354120 A354121 A354122

Keyword

nonn

Author

Alois P. Heinz, May 17 2022

Status

approved