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A106683
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Triangle read by rows: row n gives marks on lexicographically earliest n-mark optimal Golomb ruler.
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6
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0, 0, 1, 0, 1, 3, 0, 1, 4, 6, 0, 1, 4, 9, 11, 0, 1, 4, 10, 12, 17, 0, 1, 4, 10, 18, 23, 25, 0, 1, 4, 9, 15, 22, 32, 34, 0, 1, 5, 12, 25, 27, 35, 41, 44, 0, 1, 6, 10, 23, 26, 34, 41, 53, 55, 0, 1, 4, 13, 28, 33, 47, 54, 64, 70, 72, 0, 2, 6, 24, 29, 40, 43, 55, 68, 75, 76, 85, 0, 2, 5, 25, 37, 43, 59, 70, 85, 89, 98, 99, 106
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,6
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COMMENTS
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Golomb ruler: Finite set with property that no difference between any two numbers is repeated and largest number is minimized.
See A003022 for further information and additional references.
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LINKS
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Andrey Zabolotskiy, Rows 1..28, flattened
J. B. Shearer, Golomb ruler table
J. B. Shearer, Table of Known Optimal Golomb Rulers
Eric Weisstein's World of Mathematics, Golomb rulers.
Wikipedia, Golomb ruler
Index entries for sequences related to Golomb rulers
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EXAMPLE
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Triangle begins:
0;
0, 1;
0, 1, 3;
0, 1, 4, 6;
0, 1, 4, 9, 11;
0, 1, 4, 10, 12, 17; A079283
0, 1, 4, 10, 18, 23, 25; A079287
0, 1, 4, 9, 15, 22, 32, 34; A079423
0, 1, 5, 12, 25, 27, 35, 41, 44; A079425
...
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CROSSREFS
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Cf. A039953.
Cf. A079283, A079287, A079423, A079426, A079430, A079433, A079434.
Sequence in context: A250104 A220421 A352493 * A139601 A213191 A352449
Adjacent sequences: A106680 A106681 A106682 * A106684 A106685 A106686
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Jun 04 2006
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EXTENSIONS
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Corrected by Andrey Zabolotskiy, Aug 22 2017
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STATUS
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approved
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