|
|
A104305
|
|
Largest possible difference between consecutive marks that can occur amongst all possible perfect rulers of length n.
|
|
3
|
|
|
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
|
|
|
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.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|