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A036838 Triangle read by rows: T(n,k) = value of Schoenheim bound L_1(n+2,k+2,k+1) on covering numbers (0 <= k <= n). +0
12
1, 2, 1, 2, 3, 1, 3, 4, 4, 1, 3, 6, 6, 5, 1, 4, 7, 11, 9, 6, 1, 4, 11, 14, 18, 12, 7, 1, 5, 12, 25, 26, 27, 16, 8, 1, 5, 17, 30, 50, 44, 39, 20, 9, 1, 6, 19, 47, 66, 92, 70, 54, 25, 10, 1, 6, 24, 57, 113, 132, 158, 105, 72, 30, 11, 1, 7, 26, 78, 149, 245, 246 (list; table; graph; listen)
OFFSET

0,2

REFERENCES

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. See Eq. 1.

LINKS

Index entries for covering numbers

EXAMPLE

1; 2,1; 2,3,1; 3,4,4,1; 3,6,6,5,1; ...

MAPLE

L := proc(v, k, t, l) local i, t1; t1 := l; for i from v-t+1 to v do t1 := ceil(t1*i/(i-(v-k))); od: t1; end;

CROSSREFS

Columns give A011975, A036831, A036832, A036833, A036834, A036835, A036836, A014125, A036830, A036837.

Sequence in context: A072851 A103627 A080786 this_sequence A066010 A109974 A026820

Adjacent sequences: A036835 A036836 A036837 this_sequence A036839 A036840 A036841

KEYWORD

nonn,tabl,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 11 2002

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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