A353934 Number of tilings of an n X n square using right trominoes, dominoes, and monominoes.

1, 1, 11, 369, 83374, 90916452, 546063639624, 17259079054003609, 2916019543694306398589, 2620143594924539083433405392, 12541344781693990981151732534871036, 319608708168951734031266758322647453517098, 43373075269161087186367095378869660507262626652634

Offset

0,3

Links

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

Wikipedia, Polyomino

Formula

a(n) = A353877(n,n).

Example

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

Crossrefs

Main diagonal of A353877.

Cf. A004003, A028420, A063443, A219874, A219952, A219994, A220061, A220778, A233807, A270071, A353777.

Sequence in context: A000464 A291973 A024149 * A333466 A018893 A051862

Adjacent sequences: A353931 A353932 A353933 * A353935 A353936 A353937

Keyword

nonn

Author

Alois P. Heinz, May 11 2022

Status

approved