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A348070
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Triangular array read by rows: T(n,k) is the number of undirected 2-regular labeled graphs whose largest connected component has exactly k nodes; n >= 1, 1 <= k <= n.
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1
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0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 12, 0, 0, 10, 0, 0, 60, 0, 0, 0, 105, 0, 0, 360, 0, 0, 0, 315, 672, 0, 0, 2520, 0, 0, 280, 0, 4536, 5040, 0, 0, 20160, 0, 0, 0, 6300, 18144, 37800, 43200, 0, 0, 181440, 0, 0, 0, 51975, 55440, 332640, 356400, 415800, 0, 0, 1814400
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OFFSET
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1,10
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COMMENTS
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For the statistic "length of the smallest component", see A348071.
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
0;
0, 0;
0, 0, 1;
0, 0, 0, 3;
0, 0, 0, 0, 12;
0, 0, 10, 0, 0, 60;
0, 0, 0, 105, 0, 0, 360;
0, 0, 0, 315, 672, 0, 0, 2520;
0, 0, 280, 0, 4536, 5040, 0, 0, 20160;
...
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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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