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A284732
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Square array read by antidiagonals downwards: T(n,k) = number of linear extensions of the North-East rectangular partial order NE_{n,k} that avoid the pattern 2143.
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0
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1, 1, 1, 1, 2, 1, 1, 5, 4, 1, 1, 14, 21, 8, 1, 1, 42, 121, 89, 16, 1, 1, 132, 728, 1094, 377, 32, 1
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OFFSET
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1,5
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LINKS
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EXAMPLE
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The square array begins:
1, 1, 1, 1, 1, ...
1, 2, 5, 14, 42, ...
1, 4, 21, 121, 728, ...
1, 8, 89, 1094, 14041, ...
1, 16, 377, 9841, 266110, ...
...
As a triangular array:
1,
1, 1,
1, 2, 1,
1, 5, 4, 1,
1, 14, 21, 8, 1,
1, 42, 121, 89, 16, 1,
1, 132, 728, 1094, 377, 32, 1,
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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