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Search: id:A036830
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| A036830 |
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Schoenheim bound L_1(n,n-4,n-5). |
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+0
3
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| 3, 7, 14, 26, 44, 70, 105, 152, 213, 291, 388, 508, 654, 829, 1037, 1281, 1566, 1896, 2276, 2710, 3203, 3761, 4388, 5091, 5875, 6746, 7710, 8774, 9944, 11228, 12632, 14164, 15831, 17641, 19602, 21722, 24009, 26472, 29120, 31961, 35005
(list; graph; listen)
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OFFSET
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6,1
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REFERENCES
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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.
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LINKS
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Index entries for covering numbers
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FORMULA
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a(6)=3 a(n)=ceiling(n/(n-4)*a(n-1)) - Benoit Cloitre (benoit7848c(AT)orange.fr), May 31 2003
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MAPLE
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A036830 := proc(n) local i, t1; t1 := 1; for i from 6 to n do t1 := ceil(t1*i/(i-4)); od: t1; end;
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)
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PROGRAM
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(PARI) a(n)=if(n<7, 3, ceil(n/(n-4)*a(n-1)))
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CROSSREFS
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Lower bound to A066225.
A column of A036838.
Adjacent sequences: A036827 A036828 A036829 this_sequence A036831 A036832 A036833
Sequence in context: A011795 A051170 A008646 this_sequence A014153 A001924 A079921
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KEYWORD
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nonn
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AUTHOR
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njas, Jan 11 2002
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