A263425 Number of tilings of an 2n X 2n square using tetrominoes of any shape.

1, 1, 117, 178939, 19077209438, 72713560548906621, 13664822582333502156627512

Offset: 0

Author

Alois P. Heinz, Oct 17 2015

Keywords

• nonn
• more

Links

• S. Butler, J. Ekstrand, S. Osborne, TETRIS Tiling, AMS Spring Central Sectional, Iowa State University, April 27-28 2013
• R. S. Harris, Counting Polyomino Tilings
• Wikipedia, Tetromino

Crossrefs

Bisection (even part) of main diagonal of A230031.

Cf. A004003.

Formula

a(n) = A230031(2n,2n).

Extensions

a(6) (using terms from A230031) from Alois P. Heinz, Mar 26 2025