A039953 Triangle of "canonical" optimal Golomb rulers.
1, 1, 2, 1, 3, 2, 1, 3, 5, 2, 1, 3, 6, 2, 5, 1, 3, 6, 8, 5, 2, 1, 3, 5, 6, 7, 10, 2, 1, 4, 7, 13, 2, 8, 6, 3, 1, 5, 4, 13, 3, 8, 7, 12, 2, 1, 3, 9, 15, 5, 14, 7, 10, 6, 2, 2, 4, 18, 5, 11, 3, 12, 13, 7, 1, 9, 2, 3, 20, 12, 6, 16, 11, 15, 4, 9, 1, 7
Offset: 1
Examples
Triangle begins: 1; 1, 2; 1, 3, 2; 1, 3, 5, 2; 1, 3, 6, 2, 5; 1, 3, 6, 8, 5, 2; ...
References
- CRC Handbook of Combinatorial Designs, 1996, p. 315.
- A. Kotzig and P. J. Laufer, Sum triangles of natural numbers having minimum top, Ars. Combin. 21 (1986), 5-13.
Links
- Distributed.Net, Project OGR
- L. Miller, Golomb Rulers
- B. Rankin, Golomb Ruler Calculations
- J. B. Shearer, Golomb ruler table
- N. J. A. Sloane, First few optimal Golomb rulers
- Eric Weisstein's World of Mathematics, Golomb Ruler
- Wikipedia, Golomb ruler
- Index entries for sequences related to Golomb rulers
Crossrefs
Extensions
Corrected by Philip Newton, Feb 06 2002
Corrected by Andrey Zabolotskiy, Aug 22 2017
Comments