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A066041 Triangle of covering numbers T(n,k) = C(n,k,k-4), n >= 5, 5 <= k <= n. +0
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1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 4, 6, 5, 6, 1, 3, 6, 8, 9, 7, 7, 1, 3, 6, 11, 12, 12, 9, 8, 1 (list; table; graph; listen)
OFFSET

5,2

COMMENT

C(v,k,t) is the smallest number of k-subsets of an n-set such that every t-subset is contained in at least one of the k-subsets.

REFERENCES

CRC Handbook of Combinatorial Designs, 1996, p. 263.

W. H. Mills and R. C. Mullin, Coverings and packings, pp. 371-399 of J. H. Dinitz and D. R. Stinson, editors,a Contemporary Design Theory, Wiley, 1992.

LINKS

D. Gordon, La Jolla Repository of Coverings

Index entries for covering numbers

EXAMPLE

1; 2 1; 2 3 1; 2 3 4 1; 2 3 4 5 1; ...

CROSSREFS

Sequence in context: A140756 A002260 A133994 this_sequence A119585 A066040 A066019

Adjacent sequences: A066038 A066039 A066040 this_sequence A066042 A066043 A066044

KEYWORD

nonn,tabl,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 30 2001

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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