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A278657
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Number A(n,k) of tilings of a k X n rectangle using pentominoes of any shape and monominoes; square array A(n,k), n>=0, k>=0, read by antidiagonals.
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11
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 2, 25, 50, 25, 2, 1, 1, 3, 50, 311, 311, 50, 3, 1, 1, 4, 155, 1954, 4101, 1954, 155, 4, 1, 1, 5, 508, 11914, 56864, 56864, 11914, 508, 5, 1, 1, 6, 1343, 76003, 728857, 1532496, 728857, 76003, 1343, 6, 1
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OFFSET
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0,18
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LINKS
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EXAMPLE
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A(2,3) = A(3,2) = 7:
.___. .___. .___. .___. .___. .___. .___.
|_|_| | | | | | |_| |_| | | ._| |_. |
|_|_| | ._| |_. | | | | | | |_| |_| |
|_|_| |_|_| |_|_| |___| |___| |___| |___| .
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Square array A(n,k) begins:
1, 1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 2, 3, ...
1, 1, 1, 7, 25, 50, 155, ...
1, 1, 7, 50, 311, 1954, 11914, ...
1, 1, 25, 311, 4101, 56864, 728857, ...
1, 2, 50, 1954, 56864, 1532496, 42238426, ...
1, 3, 155, 11914, 728857, 42238426, 2492016728, ...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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