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Number of tilings of an 8 X n rectangle with 2n tetrominoes of any shape.
5

%I #22 Feb 07 2017 17:11:07

%S 1,1,25,997,40899,800290,22483347,657253434,19077209438,517312744806,

%T 14571957312254,412240433359025,11632857444709188,326275845576101452,

%U 9187549952207915190,258821654387452112268,7288072624408347082481,205113474464891986564786

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

%H Alois P. Heinz, <a href="/A232698/b232698.txt">Table of n, a(n) for n = 0..300</a>

%H S. Butler, J. Ekstrand, S. Osborne, <a href="/A230031/a230031.pdf">TETRIS Tiling</a>, AMS Spring Central Sectional, Iowa State University, April 27-28 2013

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetromino">Tetromino</a>

%Y Cf. A174248, A232684, A232722.

%Y Column k=8 of A230031.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Nov 27 2013