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 A247710 Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape W; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/2)*2) read by rows. 5
 1, 1, 5, 56, 461, 32, 8, 3558, 368, 80, 23966, 3256, 696, 24, 8, 178127, 29564, 6558, 360, 80, 1362597, 266672, 61858, 4852, 770, 24, 8, 10194184, 2361632, 581452, 58732, 8890, 384, 80, 75684682, 20056764, 5220634, 632044, 97174, 5968, 914, 24, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Sum_{k>0} k * T(n,k) = A247743(n). LINKS Alois P. Heinz, Rows n = 0..145, flattened Wikipedia, Pentomino EXAMPLE T(4,2) = 8: ._______.        ._______.        ._______. | ._____|        |_. |_. |        | ._____| |_| ._| |        | |_. | |        |_| ._| | | ._| ._|        | | |_| |        | ._| | | |_|___| |        | |_. |_|        |_| ._| | |_______| (*2)   |___|___| (*2)   |___|___| (*4) Triangle T(n,k) begins: 00 :        1; 01 :        1; 02 :        5; 03 :       56; 04 :      461,       32,       8; 05 :     3558,      368,      80; 06 :    23966,     3256,     696,     24,     8; 07 :   178127,    29564,    6558,    360,    80; 08 :  1362597,   266672,   61858,   4852,   770,   24,   8; 09 : 10194184,  2361632,  581452,  58732,  8890,  384,  80; 10 : 75684682, 20056764, 5220634, 632044, 97174, 5968, 914, 24, 8; CROSSREFS Row sums give A174249 or A233427(n,5). Column k=0 gives A247774. Cf. A247743. Sequence in context: A288543 A062125 A030060 * A247774 A258490 A255953 Adjacent sequences:  A247707 A247708 A247709 * A247711 A247712 A247713 KEYWORD nonn,tabf AUTHOR Alois P. Heinz, Sep 23 2014 STATUS approved

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Last modified January 16 04:40 EST 2021. Contains 340195 sequences. (Running on oeis4.)