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 A270061 Number A(n,k) of tilings of a k X n rectangle using monominoes and trominoes of any shape; square array A(n,k), n>=0, k>=0, read by antidiagonals. 12
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 1, 1, 3, 14, 14, 3, 1, 1, 4, 45, 93, 45, 4, 1, 1, 6, 140, 590, 590, 140, 6, 1, 1, 9, 438, 3710, 7517, 3710, 438, 9, 1, 1, 13, 1371, 23509, 96176, 96176, 23509, 1371, 13, 1, 1, 19, 4287, 148796, 1238818, 2501946, 1238818, 148796, 4287, 19, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 LINKS Alois P. Heinz, Antidiagonals n = 0..25, flattened Wikipedia, Tromino EXAMPLE A(2,3) = A(3,2) = 14:   ._____.  ._____.  ._____.  ._____.  ._____.  ._____.  ._____.   |_____|  |_|_|_|  |_____|  |_| |_|  | |_|_|  | ._|_|  |_. |_|   |_____|  |_____|  |_|_|_|  |___|_|  |___|_|  |_|_|_|  |_|_|_| .   ._____.  ._____.  ._____.  ._____.  ._____.  ._____.  ._____.   |_|_|_|  | ._| |  | |_. |  |_|_| |  |_| |_|  |_| ._|  |_|_. |   |_|_|_|  |_|___|  |___|_|  |_|___|  |_|___|  |_|_|_|  |_|_|_|  . . Square array A(n,k) begins:   1, 1,   1,     1,       1,        1,          1, ...   1, 1,   1,     2,       3,        4,          6, ...   1, 1,   5,    14,      45,      140,        438, ...   1, 2,  14,    93,     590,     3710,      23509, ...   1, 3,  45,   590,    7517,    96176,    1238818, ...   1, 4, 140,  3710,   96176,  2501946,   65410388, ...   1, 6, 438, 23509, 1238818, 65410388, 3473827027, ... CROSSREFS Columns (or rows) k=0-10 give: A000012, A000930, A270062, A270063, A270064, A270065, A270066, A270067, A270068, A270069, A270070. Main diagonal gives A270071. Cf. A233320. Sequence in context: A196527 A064334 A320032 * A342059 A061176 A180957 Adjacent sequences:  A270058 A270059 A270060 * A270062 A270063 A270064 KEYWORD nonn,tabl AUTHOR Alois P. Heinz, Mar 09 2016 STATUS approved

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Last modified September 24 01:27 EDT 2021. Contains 347617 sequences. (Running on oeis4.)