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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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%I #15 Mar 25 2022 09:28:27

%S 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,

%T 15,15,16,14,15,7,18,18,19,17,18,16,7,21,22,22,21,20,21,20,25,25,25,

%U 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

%N Largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of length n.

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

%H F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, <a href="/A104305/b104305.txt">Table of n, a(n) for n = 1..208</a> [a(212), a(213) commented out by _Georg Fischer_, Mar 25 2022]

%H Peter Luschny, <a href="http://www.luschny.de/math/rulers/introe.html">Perfect and Optimal Rulers.</a> A short introduction.

%H Hugo Pfoertner, <a href="http://www.randomwalk.de/scimath/diffset/consdifs.txt">Largest and smallest maximum differences of consecutive marks of perfect rulers.</a>

%H F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, <a href="https://dx.doi.org/10.21227/cd4b-nb07">MRLA search results and source code</a>, Nov 6 2020.

%H F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, <a href="https://doi.org/10.1109/OJAP.2020.3043541">Large Minimum Redundancy Linear Arrays: Systematic Search of Perfect and Optimal Rulers Exploiting Parallel Processing</a>, IEEE Open Journal of Antennas and Propagation, 2 (2021), 79-85.

%H <a href="/index/Per#perul">Index entries for sequences related to perfect rulers.</a>

%e 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.

%Y Cf. A104306 corresponding occurrence counts.

%K nonn

%O 1,3

%A _Hugo Pfoertner_, Feb 28 2005