A079605 -id:A079605 - cp's OEIS frontend

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A039953 Triangle of "canonical" optimal Golomb rulers.

Original entry on oeis.org

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

N. J. A. Sloane

n-th row gives first differences of the (n+1)-th row of A106683. - Andrey Zabolotskiy, Aug 22 2017

			Triangle begins:
  1;
  1, 2;
  1, 3, 2;
  1, 3, 5, 2;
  1, 3, 6, 2, 5;
  1, 3, 6, 8, 5, 2;
  ...

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.

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

Cf. A003022, A036501.

These all start at 1. For rulers starting at 0, see A079283, A079287, A079423, A079425, A079426, A079430, A079433, A079434, A079435, A079454 and A079467, A079604, A079605, A079606, A079607, A079608, A079625, A079634.

Corrected by Philip Newton, Feb 06 2002

Corrected by Andrey Zabolotskiy, Aug 22 2017

A106681 Marks on 19-mark optimal Golomb ruler.

Original entry on oeis.org

0, 4, 13, 15, 42, 56, 59, 77, 93, 116, 126, 138, 146, 174, 214, 221, 240, 245, 246

Offset: 0

Garet Sheppard (gar3ts(AT)gmail.com), May 13 2005

Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.

J. B. Shearer, Golomb Ruler Table
Google Scholar

Cf. A079605 + 1.

Showing 1-2 of 2 results.