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Search: id:A104307
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| A104307 |
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Least maximum of differences 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, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 5, 6, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 7, 5, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 9, 6, 7, 7, 7, 7, 7, 8, 11, 9, 10, 7, 7, 7, 8, 8, 9, 10, 9, 10, 10, 11, 8, 8, 9, 9, 10, 9, 11, 10, 10, 11, 11, 9, 9, 10, 9, 10, 11, 10
(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 A103300(13)=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 first ruler produces the least maximum difference 4=6-2=10-6 between any of its adjacent marks. Therefore a(13)=4.
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CROSSREFS
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Cf. A104308 corresponding occurrence counts, A104310 position of latest occurrence of n as a sequence term, A103294 definitions related to complete rulers.
Sequence in context: A076984 A079085 A076869 this_sequence A128330 A133801 A112310
Adjacent sequences: A104304 A104305 A104306 this_sequence A104308 A104309 A104310
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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), Mar 01 2005
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