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A104305 Largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of length n. 2
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; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For nomenclature related to perfect and optimal rulers see Peter Luschny's "Perfect Rulers" web pages.

LINKS

Table of n, a(n) for n=1..78.

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.

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

Adjacent sequences:  A104302 A104303 A104304 * A104306 A104307 A104308

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Feb 28 2005

STATUS

approved

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Last modified January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)