A354011
Number of tilings of a 3 X n rectangle using 2 X 2 tiles, right trominoes and dominoes.
Original entry on oeis.org
1, 0, 7, 8, 81, 184, 1051, 3176, 14609, 50408, 210903, 773888, 3102369, 11711856, 46045259, 176114128, 686258465, 2640610128, 10247733223, 39540368248, 153162778865, 591718044968, 2290106238779, 8852558325048, 34248315785777, 132424316290104, 512224146701367
Offset: 0
a(2)=7:
___ ___ ___ ___ ___ ___ ___
| | |___| |_ | | _| |___| |___| |_|_|
|___| | | | |_| |_| | |___| |_|_| |_|_|
|___| |___| |___| |___| |___| |_|_| |___|
A354012
Number of tilings of a 4 X n rectangle using 2 X 2 tiles, right trominoes and dominoes.
Original entry on oeis.org
1, 1, 17, 81, 702, 4623, 35044, 248045, 1819731, 13110984, 95362462, 690253391, 5008926698, 36300216768, 263252448712, 1908449014617, 13837881924141, 100326715619679, 727420462629671, 5274035027493046, 38238994112367061, 277246970248002472, 2010151423463689959
Offset: 0
a(2)=17, mirroring included (h: horizontal, v: vertical):
v v h,v v h
___ ___ ___ ___ ___ ___ ___ ___ ___ ___
| | | | | | |___| |___| | | | |___| |___| |___| | _|
|___| |___| |___| |_ | |___| |_|_| | | | |___| | | |_| |
|___| | | | | | | |_| |___| | | | |_|_| | | | |___| | |_|
|___| |_|_| |___| |___| |___| |_|_| |___| |_|_| |___| |___|
2 + 2 + 1 + 4 + 1 + 1 + 1 + 2 + 1 + 2 = 17.
- Index entries for linear recurrences with constant coefficients, signature (5,28,-69,-142,194,78,-57,-36,70,-32).
A354119
Number of tilings of an n X n square using right trominoes, dominoes, and 2 X 2 tiles.
Original entry on oeis.org
1, 0, 3, 8, 702, 41952, 16600824, 13298557992, 43157780553934, 388059824658319728, 12013678896331086695556, 1135287009899570278101009440, 350469343280046907242548361992474, 340321401792584726949313213285940152032, 1061786528674829112355995668763159293494203380
Offset: 0
a(2) = 3:
.___. .___. .___.
| | |___| | | |
|___| |___| |_|_| .
a(3) = 8:
._____. ._____. ._____. ._____.
|___| | |_. | | |___| | |___| |
| ._|_| | |_|_| | |___| | | |_|
|_|___| |_|___| |_|___| |_|___|
._____. ._____. ._____. ._____.
| |___| | |___| | |___| | | ._|
|___| | |_| | | |_|_. | |_|_| |
|___|_| |___|_| |___|_| |___|_| .
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