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A327807
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Triangle read by rows where T(n,k) is the number of unlabeled antichains of sets with n vertices and vertex-connectivity >= k.
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1
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1, 2, 0, 4, 1, 0, 9, 3, 2, 0, 29, 14, 10, 6, 0, 209, 157, 128, 91, 54, 0
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OFFSET
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0,2
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COMMENTS
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An antichain is a set of sets, none of which is a subset of any other.
The vertex-connectivity of a set-system is the minimum number of vertices that must be removed (along with any resulting empty edges) to obtain a non-connected set-system or singleton. Note that this means a single node has vertex-connectivity 0.
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LINKS
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EXAMPLE
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Triangle begins:
1
2 0
4 1 0
9 3 2 0
29 14 10 6 0
209 157 128 91 54 0
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CROSSREFS
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Except for the first column, same as A327358 (the covering case).
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KEYWORD
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AUTHOR
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STATUS
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approved
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