A353964
Number of tilings of a 2 X n rectangle using 2 X 2 and 1 X 1 tiles and right trominoes.
Original entry on oeis.org
1, 1, 6, 13, 45, 122, 373, 1073, 3182, 9293, 27349, 80178, 235509, 691097, 2028998, 5955501, 17482685, 51318186, 150642613, 442198913, 1298048350, 3810328141, 11184967717, 32832705122, 96378199989, 282911661033, 830468071222, 2437782776365, 7155946454541
Offset: 0
a(3)=13, see example 3 X 2, A353965.
A353965
Number of tilings of a 3 X n rectangle using 2 X 2 and 1 X 1 tiles and right trominoes.
Original entry on oeis.org
1, 1, 13, 47, 259, 1189, 5877, 28167, 136723, 660173, 3194613, 15445007, 74699811, 361230229, 1746933205, 8448061879, 40854753875, 197572345789, 955455626773, 4620559362303, 22344915889827, 108059470995013, 522573007884725, 2527150465444071, 12221238828079379
Offset: 0
a(2) = 13:
v h,v h=v h,v
___ ___ ___ ___ ___
| | | |_| | _| | _| |_|_| mirroring included
|___| |___| |_| | |_|_| |_|_| h: horizontal, v: vertical
|_|_| |_|_| |___| |_|_| |_|_|
2 + 4 + 2 + 4 + 1 = 13
A354067
Number of tilings of an n X n square using right trominoes, monominoes and 2 X 2 tiles.
Original entry on oeis.org
1, 1, 6, 47, 3376, 475962, 355724934, 777719132265, 6953251175836902, 211458363740571796706, 24140111818602303894344572, 9821069154293248979055457847110, 14628885986751823763315761493151275720, 78680004562091421665338332919348995334919722
Offset: 0
a(2) = 6:
.___. .___. .___. .___. .___. .___.
| |_| | ._| |_. | |_| | |_|_| | |
|___| |_|_| |_|_| |___| |_|_| |___| .
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