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Search: id:A104306
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| A104306 |
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Number of perfect rulers of length n having the largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of this length. |
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+0
2
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| 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 5, 2, 1, 5, 6, 2, 1, 7, 8, 2, 2, 2, 1, 2, 6, 2, 2, 3, 1, 12, 6, 2, 2, 1, 1, 1, 8, 4, 2, 3, 1, 1, 1, 8, 2, 2, 5, 1, 1, 1, 2, 8, 2, 2, 4, 1, 1, 1, 10, 8, 2, 2, 6, 1, 1, 1, 1, 1, 4, 2, 6, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1
(list; graph; listen)
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OFFSET
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1,4
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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 14 perfect rulers of length 12:
[0,1,2,3,8,12], [0,1,2,6,9,12], [0,1,3,5,11,12], [0,1,3,7,11,12],
[0,1,4,5,10,12], [0,1,4,7,10,12], [0,1,7,8,10,12], and their mirror images. The maximum difference between adjacent marks occurs for the 3rd ruler between marks "5" and "11" and for the 7th ruler between marks "1" and "7". Because there are 2 rulers containing the maximum gap between adjacent marks A104305(12)=6 and a(12)=2.
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CROSSREFS
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Cf. A104305, largest possible difference between consecutive marks for a perfect ruler of length n.
Sequence in context: A052128 A114536 A138010 this_sequence A074389 A051119 A009191
Adjacent sequences: A104303 A104304 A104305 this_sequence A104307 A104308 A104309
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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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