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A104307 Least maximum of differences between consecutive marks that can occur amongst all possible perfect rulers of length n.

%I A104307 #14 Mar 25 2022 09:28:12
%S A104307 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,
%T A104307 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,
%U A104307 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
%N A104307 Least maximum of differences between consecutive marks that can occur amongst all possible perfect rulers of length n.
%C A104307 For nomenclature related to perfect and optimal rulers see Peter Luschny's "Perfect Rulers" web pages.
%H A104307 F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, <a href="/A104307/b104307.txt">Table of n, a(n) for n = 1..208</a> [a(212), a(213) commented out by _Georg Fischer_, Mar 25 2022]
%H A104307 Peter Luschny, <a href="http://www.luschny.de/math/rulers/introe.html">Perfect and Optimal Rulers.</a> A short introduction.
%H A104307 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 A104307 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 A104307 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 A104307 <a href="/index/Per#perul">Index entries for sequences related to perfect rulers.</a>
%e A104307 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.
%Y A104307 Cf. A104308 corresponding occurrence counts, A104310 position of latest occurrence of n as a sequence term, A103294 definitions related to complete rulers.
%K A104307 nonn
%O A104307 1,3
%A A104307 _Hugo Pfoertner_, Mar 01 2005