A104308 Number of perfect rulers of length n having the least possible largest difference between any adjacent marks that can occur amongst all perfect rulers of this length.
1, 1, 1, 2, 1, 1, 1, 2, 1, 7, 3, 1, 1, 3, 1, 3, 1, 1, 12, 3, 1, 1, 1, 4, 1, 6, 1, 1, 1, 22, 7, 1, 3, 1, 1, 1, 1, 15, 3, 1, 1, 1, 1, 14, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 2, 1, 13, 3, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 7, 3, 10, 4, 2, 3, 1, 1, 7, 3, 26, 10, 10, 2, 1, 3, 1, 1, 1, 26, 10, 26, 2, 4, 8, 3, 1, 1, 1
Offset: 1
Keywords
Examples
a(11)=3 because 3 of the A103300(11)/2=15 perfect rulers of length 11 can be constructed using the shortest possible maximum segment length A104307(11)=3: [0,1,2,5,8,11], [0,1,4,6,9,11], [0,1,4,7,9,11], not counting their mirror images.
Links
- F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, Table of n, a(n) for n = 1..208 [a(212), a(213) commented out by _Georg Fischer_, Mar 25 2022]
- Peter Luschny, Perfect and Optimal Rulers. A short introduction.
- Hugo Pfoertner, Largest and smallest maximum differences of consecutive marks of perfect rulers.
- F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, MRLA search results and source code, Nov 6 2020.
- F. Schwartau, Y. Schröder, L. Wolf and J. Schoebel, Large Minimum Redundancy Linear Arrays: Systematic Search of Perfect and Optimal Rulers Exploiting Parallel Processing, IEEE Open Journal of Antennas and Propagation, 2 (2021), 79-85.
- Index entries for sequences related to perfect rulers.
Comments