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Search: id:A046211
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| A046211 |
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Number of ternary Lyndon words whose digits sum to 1 mod 3; number of ternary Lyndon words whose digits sum to 2 mod 3; number of trace 1 (or 2) monic irreducible polynomials over GF(3). |
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+0
13
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| 1, 1, 3, 6, 16, 39, 104, 270, 729, 1960, 5368, 14742, 40880, 113828, 318864, 896670, 2532160, 7174089, 20390552, 58112088, 166037352, 475467916, 1364393896, 3922625070, 11297181456, 32588003000, 94143178827, 272342710380
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Also number of ternary Lyndon words of trace 1 over GF(3). Also number of ternary Lyndon words of trace 2 over GF(3).
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LINKS
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Index entries for sequences related to Lyndon words
F. Ruskey, Number of q-ary Lyndon words with given trace mod q
F. Ruskey, Number of monic irreducible polynomials over GF(q) with zero trace ...
F. Ruskey, Number of Lyndon words of given trace
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FORMULA
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( Sum_{d|n, gcd(d, 3)=1} mu(d)*3^{n/d}) / (3n)
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EXAMPLE
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a(4)= 6 = |{ 0001, 0022, 0112, 0121, 0211, 1222 }|
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CROSSREFS
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Cf. A046209.
Sequence in context: A073079 A143560 A001675 this_sequence A018022 A166536 A128720
Adjacent sequences: A046208 A046209 A046210 this_sequence A046212 A046213 A046214
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KEYWORD
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nonn
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AUTHOR
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Frank Ruskey (fruskey(AT)cs.uvic.ca), Dec 13 1999
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