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Search: id:A074449
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| A074449 |
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Number of 4-ary Lyndon words of length n over GF(4) with trace 1 and subtrace 1. |
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+0 5
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| 0, 1, 2, 4, 12, 45, 153, 512, 1813, 6579, 23901, 87380, 322560, 1198665, 4474738
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Let x = RootOf( z^2+z+1 ) and y = 1+x. Also the number of 4-ary Lyndon words of length n over GF(4) with trace x and subtrace y. Also the number of 4-ary Lyndon words of length n over GF(4) with trace y and subtrace x.
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LINKS
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F. Ruskey, Number of 4-ary Lyndon words over GF(4) with given trace and subtrace
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EXAMPLE
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Let x = RootOf( z^2+z+1 ) and y = 1+x. a(2; y,x)=1 since the one 4-ary Lyndon word of trace y, subtrace x and length 2 is ( 1x }.
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CROSSREFS
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Cf. A074446, A074447, A074448, A074450.
Sequence in context: A039301 A131529 A165901 this_sequence A131387 A152453 A004527
Adjacent sequences: A074446 A074447 A074448 this_sequence A074450 A074451 A074452
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KEYWORD
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easy,nonn
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AUTHOR
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Frank Ruskey, Nate Kube (fruskey(AT)cs.uvic.ca), Aug 23 2002
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