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Search: id:A133721
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| A133721 |
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Triangle read by rows: T(m,n) = number of n-balanced and minimal labeled covers of a finite set of m unlabeled elements (m >= 1, 1 <= n <= m). |
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+0
5
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 7, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 10, 1, 13, 1, 1, 1, 1, 1, 1, 1, 25, 7, 1, 1, 1, 1, 1, 1, 1, 15, 6, 3, 22, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 21, 65, 81, 7, 34, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10
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OFFSET
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1,12
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REFERENCES
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A. P. Burger and J. H. van Vuuren, Balanced minimal covers of a finite set, Discr. Math. 307 (2007), 2853-2860.
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EXAMPLE
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Triangle begins:
1
1 1
1 1 1
1 1 1 1
1 3 1 1 1
1 1 1 1 1 1
1 6 7 1 1 1 1
1 1 3 1 1 1 1 1
1 10 1 13 1 1 1 1 1
1 1 25 7 1 1 1 1 1 1
1 15 6 3 22 1 1 1 1 1 1
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CROSSREFS
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Cf. A133709. Column n=2 is essentially A000217. Columns 3, 4, 5, 6 give A133722, A133723, A133724, A133733.
Sequence in context: A030577 A070670 A049586 this_sequence A083202 A030560 A030559
Adjacent sequences: A133718 A133719 A133720 this_sequence A133722 A133723 A133724
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 30 2007
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