|
|
A019311
|
|
Number of words of length n (n >= 1) over a two-letter alphabet having a minimal period of size n-2.
|
|
3
|
|
|
0, 0, 2, 2, 6, 12, 28, 48, 106, 198, 414, 800, 1644, 3236, 6546, 12982, 26130, 52048, 104404, 208372, 417390, 833930, 1669102, 3336476, 6675512, 13347600, 26700226, 53393562, 106797302, 213580904, 427181968, 854336432, 1708713470, 3417372070, 6834824970
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
|
|
EXAMPLE
|
a(5) = 6 because we have: {0, 0, 1, 0, 0}, {1, 1, 0, 1, 1}, {0, 1, 0, 0, 1},
{0, 1, 1, 0, 1}, {1, 0, 0, 1, 0}, {1, 0, 1, 1, 0}. The first two words have autocorrelation polynomial equal to 1 + z^3 + z^4, the last four words have autocorrelation polynomial equal to 1 + z^4. - Geoffrey Critzer, Apr 13 2022
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|