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A053560 Number of ternary Lyndon words of length n with trace 0 and subtrace 1 over GF(3). 5
0, 0, 0, 1, 6, 14, 36, 93, 252, 661, 1782, 4893, 13608, 37890, 106142, 298755, 844182, 2391732, 6797196, 19371684, 55348596, 158491993, 454795398, 1307534319, 3765720066, 10862647236, 31381000560, 90780846494, 262951692390 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..29.

F. Ruskey, Ternary Lyndon words with given trace and subtrace over GF(3)

FORMULA

(1/n) Sum mu(d) M(n/d, 2, 2); d|n, d=1(3) + (1/n) Sum mu(d) M(n/d, 1, 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 = |{ 1122 }|

CROSSREFS

Cf. A053548, A053561, A053562, A053563, A053564.

Sequence in context: A268275 A272548 A036387 * A229441 A119874 A270127

Adjacent sequences:  A053557 A053558 A053559 * A053561 A053562 A053563

KEYWORD

nonn

AUTHOR

Frank Ruskey, Jan 17 2000

STATUS

approved

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Last modified May 22 14:32 EDT 2019. Contains 323480 sequences. (Running on oeis4.)