A354067 Number of tilings of an n X n square using right trominoes, monominoes and 2 X 2 tiles.

1, 1, 6, 47, 3376, 475962, 355724934, 777719132265, 6953251175836902, 211458363740571796706, 24140111818602303894344572, 9821069154293248979055457847110, 14628885986751823763315761493151275720, 78680004562091421665338332919348995334919722

Offset

0,3

Links

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

Wikipedia, Polyomino

Formula

a(n) = A353963(n,n).

Example

a(2) = 6:
  .___.  .___.  .___.  .___.  .___.  .___.
  | |_|  | ._|  |_. |  |_| |  |_|_|  |   |
  |___|  |_|_|  |_|_|  |___|  |_|_|  |___| .

Crossrefs

Main diagonal of A353963.

Sequence in context: A192887 A321190 A320403 * A357430 A323138 A000252

Adjacent sequences: A354064 A354065 A354066 * A354068 A354069 A354070

Keyword

nonn

Author

Alois P. Heinz, May 16 2022

Status

approved