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 A247711 Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape X; triangle T(n,k), n>=0, read by rows. 6
 1, 1, 5, 55, 1, 493, 8, 3930, 76, 27207, 734, 9, 207118, 7414, 157, 1622723, 71986, 2064, 8, 12544364, 638499, 22232, 259, 95912510, 5558790, 222964, 3898, 50, 732066083, 47971603, 2179607, 49537, 948, 8, 5616480627, 410502410, 20604626, 564498, 13889, 180 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Sum_{k>0} k * T(n,k) = A247744(n). LINKS Alois P. Heinz, Rows n = 0..185, flattened Wikipedia, Pentomino EXAMPLE T(3,1) = 1: ._____. | ._. | |_| |_| |_. ._| | |_| | |_____| . Triangle T(n,k) begins: 00 : 1; 01 : 1; 02 : 5; 03 : 55, 1; 04 : 493, 8; 05 : 3930, 76; 06 : 27207, 734, 9; 07 : 207118, 7414, 157; 08 : 1622723, 71986, 2064, 8; 09 : 12544364, 638499, 22232, 259; 10 : 95912510, 5558790, 222964, 3898, 50; CROSSREFS Row sums give A174249 or A233427(n,5). Columns k=0-1 give: A247775, A247828. Cf. A247744. Sequence in context: A245765 A085719 A129420 * A284066 A244439 A216446 Adjacent sequences: A247708 A247709 A247710 * A247712 A247713 A247714 KEYWORD nonn,tabf AUTHOR Alois P. Heinz, Sep 23 2014 STATUS approved

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Last modified April 25 11:21 EDT 2024. Contains 371967 sequences. (Running on oeis4.)