|
| |
|
|
A053563
|
|
Number of ternary Lyndon words of length n with trace 1 and subtrace 1 over GF(3). Same as the number of ternary Lyndon words of length n with trace 2 and subtrace 1 over GF(3).
|
|
5
| |
|
|
0, 0, 1, 1, 4, 13, 36, 90, 243, 661, 1804, 4914, 13608, 37944, 106288, 298755, 843796, 2391363, 6797196, 19370696, 55345784, 158491993, 454803100, 1307541690, 3765720066, 10862667648, 31381059609, 90780846494, 262951527460
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,5
|
|
|
LINKS
| F. Ruskey, Ternary Lyndon words of given trace and subtrace over GF(3)
|
|
|
FORMULA
| (1/n) Sum mu(d) M(n/d, 0, 2); d|n, d=1(3) + (1/n) Sum mu(d) M(n/d, 0, 1); d|n, d=2(3) where M(n, t, s) = Sum n!/(i!j!k!); i+j+k=n, j=t(3), k=s(3).
|
|
|
EXAMPLE
| a(4) = 1 = |{ 0022 }|
|
|
|
CROSSREFS
| Cf. A053548, A053560, A053561, A053562, A053564.
Sequence in context: A002727 A036629 A079922 * A036636 A036643 A000299
Adjacent sequences: A053560 A053561 A053562 * A053564 A053565 A053566
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Frank Ruskey (ruskey(AT)cs.uvic.ca), Jan 17 2000
|
| |
|
|
