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Search: id:A104305
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| A104305 |
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Largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of length n. |
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+0
3
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| 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
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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For nomenclature related to perfect and optimal rulers see Peter Luschny's "Perfect Rulers" web pages.
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LINKS
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Peter Luschny, Perfect and Optimal Rulers. A short introduction.
Hugo Pfoertner, Largest and smallest maximum differences of consecutive marks of perfect rulers.
Index entries for sequences related to perfect rulers.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A104306 corresponding occurrence counts.
Adjacent sequences: A104302 A104303 A104304 this_sequence A104306 A104307 A104308
Sequence in context: A088462 A093337 A120397 this_sequence A050506 A029122 A134482
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 28 2005
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