|
|
A074028
|
|
Number of binary Lyndon words of length n with trace 0 and subtrace 1 over Z_2.
|
|
7
|
|
|
0, 0, 1, 1, 2, 2, 4, 6, 13, 24, 48, 85, 160, 288, 541, 1008, 1920, 3626, 6912, 13107, 24989, 47616, 91136, 174590, 335462, 645120, 1242904, 2396745, 4628480, 8947294, 17317888, 33552384, 65074253, 126320640, 245428574, 477218560, 928645120, 1808400384, 3524068955
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
Same as the number of binary Lyndon words of length n with trace 0 and subtrace 1 over GF(2).
|
|
LINKS
|
|
|
FORMULA
|
a(2n) = A042980(2n), a(2n+1) = A042979(2n+1). This follows from Cattell et al. (see A042979), Main Theorem on p. 33 and Theorem 4 on p. 44.
|
|
EXAMPLE
|
a(5;0,1)=2 since the two binary Lyndon words of trace 0, subtrace 1 and length 5 are { 00011, 00101 }.
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|