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 A247713 Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape Z; triangle T(n,k), n>=0, read by rows. 5
 1, 1, 5, 52, 4, 451, 48, 2, 3498, 484, 24, 23502, 4136, 300, 12, 173611, 37674, 3262, 142, 1323447, 335388, 35938, 1964, 44, 9920654, 2892492, 365458, 25752, 986, 12, 73573634, 24266128, 3544842, 298200, 15002, 400, 6, 545170514, 200531918, 33123244, 3236018, 198380, 7546, 164, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Sum_{k>0} k * T(n,k) = A247746(n). LINKS Alois P. Heinz, Rows n = 0..170, flattened Wikipedia, Pentomino EXAMPLE T(3,1) = 4: ._____.        ._____. |___. |        |   ._| |_. | |        |___| | | | |_|        | .___| | |___|        |_|   | |_____| (*2)   |_____| (*2)  . Triangle T(n,k) begins: 00 :        1; 01 :        1; 02 :        5; 03 :       52,        4; 04 :      451,       48,       2; 05 :     3498,      484,      24; 06 :    23502,     4136,     300,     12; 07 :   173611,    37674,    3262,    142; 08 :  1323447,   335388,   35938,   1964,    44; 09 :  9920654,  2892492,  365458,  25752,   986,  12; 10 : 73573634, 24266128, 3544842, 298200, 15002, 400, 6; CROSSREFS Row sums give A174249 or A233427(n,5). Column k=0 gives A247777. Cf. A247746. Sequence in context: A134097 A299025 A247702 * A067282 A045539 A281202 Adjacent sequences:  A247710 A247711 A247712 * A247714 A247715 A247716 KEYWORD nonn,tabf AUTHOR Alois P. Heinz, Sep 23 2014 STATUS approved

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Last modified April 14 10:14 EDT 2021. Contains 342949 sequences. (Running on oeis4.)