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A361220
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Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 4 rectangle.
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3
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3, 29, 370, 5752, 82310, 1232770, 19119198, 307914196, 5020522468, 89323885136, 1708142066600
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OFFSET
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1,1
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COMMENTS
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Tilings that are rotations or reflections of each other are considered distinct.
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LINKS
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EXAMPLE
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The following table shows the sets of pieces that give the maximum number of tilings for n <= 11. All these sets are unique.
\ Number of pieces of size
n \ 1 X 1 | 1 X 2 | 1 X 3 | 1 X 4
----+-------+-------+-------+------
1 | 2 | 1 | 0 | 0
2 | 4 | 2 | 0 | 0
3 | 3 | 3 | 1 | 0
4 | 5 | 4 | 1 | 0
5 | 7 | 5 | 1 | 0
6 | 8 | 5 | 2 | 0
7 | 10 | 6 | 2 | 0
8 | 10 | 8 | 2 | 0
9 | 11 | 8 | 3 | 0
10 | 11 | 8 | 3 | 1
11 | 13 | 9 | 3 | 1
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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