cp's OEIS Frontend

A104306 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.

%I A104306 #14 Mar 25 2022 09:28:18
%S A104306 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,
%T A104306 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,
%U A104306 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
%N A104306 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.
%H A104306 F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, <a href="/A104306/b104306.txt">Table of n, a(n) for n = 1..208</a> [a(212), a(213) commented out by _Georg Fischer_, Mar 25 2022]
%H A104306 Peter Luschny, <a href="http://www.luschny.de/math/rulers/introe.html">Perfect and Optimal Rulers.</a> A short introduction.
%H A104306 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 A104306 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 A104306 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 A104306 <a href="/index/Per#perul">Index entries for sequences related to perfect rulers.</a>
%e A104306 There are 14 perfect rulers of length 12:
%e A104306 [0,1,2,3,8,12], [0,1,2,6,9,12], [0,1,3,5,11,12], [0,1,3,7,11,12],
%e A104306 [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.
%Y A104306 Cf. A104305, largest possible difference between consecutive marks for a perfect ruler of length n.
%K A104306 nonn
%O A104306 1,4
%A A104306 _Hugo Pfoertner_, Feb 28 2005