A066010 Triangle of covering numbers T(n,k) = C(n,k,k-1), n >= 2, 2 <= k <= n.
1, 2, 1, 2, 3, 1, 3, 4, 4, 1, 3, 6, 6, 5, 1, 4, 7, 12, 9, 6, 1, 4, 11, 14, 20, 12, 7, 1, 5, 12, 25, 30, 30, 16, 8, 1, 5, 17, 30, 51, 50, 45, 20, 9, 1, 6, 19, 47, 66
Offset: 2
Examples
Table of values of C(v,k,k-1): v\k.2..3..4...5...6...7...8..9.10.11.12.13 .2 .1 .3 .2..1 .4 .2..3..1 .5 .3..4..4...1 .6 .3..6..6...5...1 .7 .4..7.12...9...6...1 .8 .4.11.14..20..12...7...1 .9 .5.12.25..30..30..16...8..1 10 .5.17.30..51..50..45..20..9..1 11 .6.19.47..66...a..84..63.25.10..1 12 .6.24.57.113.132...b.126.84.30.11..1 13 .7.26.78.???.245.???..?.185.??.36.12.1 where a in range 96-100, b in range 165-176
References
- CRC Handbook of Combinatorial Designs, 1996, p. 263.
- W. H. Mills and R. C. Mullin, Coverings and packings, pp. 371-399 of Jeffrey H. Dinitz and D. R. Stinson, editors, Contemporary Design Theory, Wiley, 1992.
Links
- D. Applegate, E. M. Rains and N. J. A. Sloane, On asymmetric coverings and covering numbers, J. Comb. Des. 11 (2003), 218-228.
- D. Gordon, La Jolla Repository of Coverings
- K. J. Nurmela and Patric R. J. Östergård, New coverings of t-sets with (t+1)-sets, J. Combinat. Designs, 7 (1999), 217-226.
- K. J. Nurmela and Patric R. J. Östergård, New coverings of t-sets with (t+1)-sets (appendix), J. Combinat. Designs, 7 (1999), 217-226.
- Index entries for covering numbers
Comments