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A104305
Largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of length n.
3
1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 7, 9, 9, 10, 10, 9, 9, 12, 12, 12, 13, 11, 12, 14, 15, 15, 16, 14, 15, 7, 18, 18, 19, 17, 18, 16, 7, 21, 22, 22, 21, 20, 21, 20, 25, 25, 25, 26, 25, 24, 25, 24, 28, 29, 29, 30, 29, 28, 29, 28, 11, 11, 33, 34, 33, 33, 34, 32, 31, 9, 10, 11
OFFSET
1,3
COMMENTS
For nomenclature related to perfect and optimal rulers see Peter Luschny's "Perfect Rulers" web pages.
LINKS
F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, Table of n, a(n) for n = 1..208 [a(212), a(213) commented out by Georg Fischer, Mar 25 2022]
Peter Luschny, Perfect and Optimal Rulers. A short introduction.
F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, MRLA search results and source code, Nov 6 2020.
F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, Large Minimum Redundancy Linear Arrays: Systematic Search of Perfect and Optimal Rulers Exploiting Parallel Processing, IEEE Open Journal of Antennas and Propagation, 2 (2021), 79-85.
EXAMPLE
There are 6 perfect rulers of length 13: [0,1,2,6,10,13], [0,1,4,5,11,13], [0,1,6,9,11,13] and their mirror images. The maximum difference between adjacent marks occurs for the second ruler between marks "5" and "11". Therefore a(13)=6.
CROSSREFS
Cf. A104306 corresponding occurrence counts.
Sequence in context: A254528 A176044 A120397 * A050506 A155213 A029122
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Feb 28 2005
STATUS
approved