A360498
Number of ways to tile an n X n square using oblongs with distinct dimensions.
Original entry on oeis.org
0, 0, 4, 12, 256, 3620, 87216, 2444084, 87181220
Offset: 1
a(1) = 0 as no distinct oblongs can tile a square with dimensions 1 x 1.
a(2) = 0 as no distinct oblongs can tile a square with dimensions 2 x 2.
a(3) = 4. There is one tiling, excluding those equivalent by symmetry:
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This tiling can occur in 4 different ways, giving 4 ways in total.
a(4) = 12. The possible tilings, excluding those equivalent by symmetry, are:
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The first tiling can occur in 8 different way and the second in 4 different ways, giving 12 ways in total.
A233339
Number of tilings of a 4 X 3n rectangle using 4n trominoes of any shape.
Original entry on oeis.org
1, 23, 939, 41813, 1895145, 86208957, 3924499731, 178682349823, 8135650498647, 370429531112741, 16866286184557689, 767950873073579951, 34966119230441665595, 1592067343861413081837, 72489555274710984629691, 3300573714050654978094583, 150280779093325614402294089
Offset: 0
Trisection of column k=4 of
A233320.
A233340
Number of tilings of a 5 X 3n rectangle using 5n trominoes of any shape.
Original entry on oeis.org
1, 62, 8342, 1269900, 198253934, 31111319376, 4887323351972, 767919868804309, 120664440361104580, 18960353496615710993, 2979300461790704311162, 468147088780110777732830, 73561466714064126023807694, 11558951424929920406557632356, 1816295465197137076501207582877
Offset: 0
Trisection of column k=5 of
A233320.
A233343
Number of tilings of a 7 X 3n rectangle using 7n trominoes of any shape.
Original entry on oeis.org
1, 441, 614581, 1064557805, 1949314526229, 3619365754064658, 6743148875847013949, 12573396789552627635974, 23449283563696481324707977, 43734844458505039459034141789, 81570040233489554572733439665568, 152137050633841639720340771054558899
Offset: 0
Trisection of column k=7 of
A233320.
A269958
Number of tilings of an 8 X 3n rectangle using 8n trominoes of any shape.
Original entry on oeis.org
1, 1173, 5271923, 30860212081, 193553900967497, 1235348565576072999, 7918615596845276941783, 50812059004074711375396005, 326133836808482000144440191279, 2093399184722452211913343015136793, 13437387174568575272118729720355720407
Offset: 0
Trisection of column k=8 of
A233320.
A269959
Number of tilings of a 10 X 3n rectangle using 10n trominoes of any shape.
Original entry on oeis.org
1, 8266, 379419508, 25020222581494, 1830607857363940042, 137787968143635937039786, 10448677822353537147395706384, 793868918375370204415242288244707, 60346488218332294539638857492286577712, 4587865445075128062280066720936757293474915
Offset: 0
Trisection of column k=10 of
A233320.
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