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A053562 Number of ternary Lyndon words of length n with trace 1 and subtrace 0 over GF(3). Same as the number of ternary Lyndon words of length n with trace 2 and subtrace 0 over GF(3). 5
1, 1, 1, 2, 6, 13, 32, 87, 243, 654, 1782, 4914, 13664, 37994, 106288, 298890, 844182, 2391363, 6796160, 19369708, 55345784, 158489298, 454795398, 1307541690, 3765741324, 10862688116, 31381059609, 90780903460, 262951692390 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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, 0, 1); d|n, d=1(3) + (1/n) Sum mu(d) M(n/d, 0, 2); 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) = 3 = |{ 0001, 1222 }|

CROSSREFS

Cf. A053548, A053560, A053561, A053563, A053564.

Sequence in context: A258344 A099232 A280758 * A003039 A109385 A244578

Adjacent sequences:  A053559 A053560 A053561 * A053563 A053564 A053565

KEYWORD

nonn

AUTHOR

Frank Ruskey, Jan 17 2000

STATUS

approved

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Last modified May 22 21:17 EDT 2019. Contains 323504 sequences. (Running on oeis4.)