A232698 Number of tilings of an 8 X n rectangle with 2n tetrominoes of any shape.

1, 1, 25, 997, 40899, 800290, 22483347, 657253434, 19077209438, 517312744806, 14571957312254, 412240433359025, 11632857444709188, 326275845576101452, 9187549952207915190, 258821654387452112268, 7288072624408347082481, 205113474464891986564786

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..300

S. Butler, J. Ekstrand, S. Osborne, TETRIS Tiling, AMS Spring Central Sectional, Iowa State University, April 27-28 2013

Wikipedia, Tetromino

Crossrefs

Cf. A174248, A232684, A232722.

Column k=8 of A230031.

Sequence in context: A218230 A219060 A218316 * A139163 A367974 A167257

Adjacent sequences: A232695 A232696 A232697 * A232699 A232700 A232701

Keyword

nonn

Author

Alois P. Heinz, Nov 27 2013

Status

approved