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A039953
Triangle of "canonical" optimal Golomb rulers.
3
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
1,3
COMMENTS
n-th row gives first differences of the (n+1)-th row of A106683. - Andrey Zabolotskiy, Aug 22 2017
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
EXAMPLE
Triangle begins:
1;
1, 2;
1, 3, 2;
1, 3, 5, 2;
1, 3, 6, 2, 5;
1, 3, 6, 8, 5, 2;
...
CROSSREFS
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.
Sequence in context: A002973 A071476 A071499 * A329508 A376700 A329515
KEYWORD
nonn,tabl,nice
EXTENSIONS
Corrected by Philip Newton, Feb 06 2002
Corrected by Andrey Zabolotskiy, Aug 22 2017
STATUS
approved