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A011975
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Covering numbers C(n,3,2).
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6
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1, 3, 4, 6, 7, 11, 12, 17, 19, 24, 26, 33, 35, 43, 46, 54, 57, 67, 70, 81, 85, 96, 100, 113, 117, 131, 136, 150, 155, 171, 176, 193, 199, 216, 222, 241, 247, 267, 274, 294, 301, 323, 330, 353, 361, 384, 392, 417, 425, 451, 460, 486
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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REFERENCES
| P. J. Cameron, Combinatorics, ..., Cambridge, 1994, see p. 121.
CRC Handbook of Combinatorial Designs, 1996, p. 262.
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.
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LINKS
| T. D. Noe, Table of n, a(n) for n = 3..1000
D. Gordon, La Jolla Repository of Coverings
Uenal Mutlu (uenalm(AT)metronet.de), Tables of coverings
Index entries for covering numbers
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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; # gives Schoenheim bound L_l(v, k, t). Present sequence is L_1(n, 3, 2, 1).
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MATHEMATICA
| L[v_, k_, t_, m_] := Module[{t1 = m}, Do[t1 = Ceiling[t1*i/(i - (v - k))], {i, v - t + 1, v}]; t1]; Table[L[n, 3, 2, 1], {n, 3, 100}] (* T. D. Noe, Sep 28 2011 *)
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CROSSREFS
| Cf. A011977, A001839. A column of A066010. Also a column of A036838.
Sequence in context: A194095 A064404 A047514 * A202112 A079249 A075434
Adjacent sequences: A011972 A011973 A011974 * A011976 A011977 A011978
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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