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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 Alois P. Heinz, Antidiagonals n = 0..15, flattened 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. Cf. A174249, A233427. Sequence in context: A258149 A278717 A241009 * A242914 A046542 A172351 Adjacent sequences:  A278654 A278655 A278656 * A278658 A278659 A278660 KEYWORD nonn,tabl AUTHOR Alois P. Heinz, Nov 25 2016 STATUS approved

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Last modified July 30 03:31 EDT 2021. Contains 346347 sequences. (Running on oeis4.)