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A247710
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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.
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5
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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
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OFFSET
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0,3
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COMMENTS
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LINKS
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EXAMPLE
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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;
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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