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A278657 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. 11
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,18
LINKS
Wikipedia, Pentomino
EXAMPLE
A(2,3) = A(3,2) = 7:
.___. .___. .___. .___. .___. .___. .___.
|_|_| | | | | | |_| |_| | | ._| |_. |
|_|_| | ._| |_. | | | | | | |_| |_| |
|_|_| |_|_| |_|_| |___| |___| |___| |___| .
.
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, ...
CROSSREFS
Columns (or rows) k=0-7 give: A000012, A003520, A278874, A278875, A278876, A278456, A278877, A278878.
Sequence in context: A258149 A278717 A241009 * A242914 A046542 A172351
KEYWORD
nonn,tabl
AUTHOR
Alois P. Heinz, Nov 25 2016
STATUS
approved

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Last modified March 29 09:32 EDT 2024. Contains 371268 sequences. (Running on oeis4.)