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A078106
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Number of distances not measured by the shortest Golomb ruler with n marks (i.e., length of shortest Golomb ruler with n marks minus number of distances measured by that ruler.
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2
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0, 0, 0, 1, 2, 4, 6, 8, 10, 17, 19, 28, 36, 46, 57, 63, 63, 75, 93, 123, 125, 119
(list;
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history;
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OFFSET
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2,5
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COMMENTS
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Appears to be (length of shortest Golomb ruler with n marks) - n*(n-1)/2; or A003022(n) - A000217(n-1).
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REFERENCES
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Miller, J. C. P. Difference bases. Three problems in additive number theory. Computers in number theory (Proc. Sci. Res. Council Atlas Sympos. No. 2, Oxford, 1969), pp. 299--322. Academic Press, London,1971. MR0316269 (47 #4817) - From N. J. A. Sloane, Jun 05 2012
Rhys Price Jones, Gracelessness, Proc. 10th S.-E. Conf. Combin., Graph Theory and Computing, 1979, pp. 547-552. - From N. J. A. Sloane, Jun 05 2012
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LINKS
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Table of n, a(n) for n=2..23.
Index entries for sequences related to Golomb rulers
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CROSSREFS
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Cf. A000217, A003022, A106683.
Sequence in context: A175299 A088008 A067720 * A111082 A100433 A254343
Adjacent sequences: A078103 A078104 A078105 * A078107 A078108 A078109
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KEYWORD
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nonn
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AUTHOR
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Michael Gilleland, Nov 24 2002
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EXTENSIONS
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Made consistent with A003022 by Peter Munn, Jul 23 2019
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STATUS
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approved
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