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

Author

Alois P. Heinz, May 11 2022

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Main diagonal of A353877.

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

Formula

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