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Search: id:A074421
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| A074421 |
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Number of 5-ary Lyndon words of length n over Z_5 with trace 1 and subtrace 4. |
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+0
8
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| 0, 0, 2, 7, 25, 99, 432, 1935, 8666, 39050, 177500, 813748, 3756250, 17439507, 81380200
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Same as number of Lyndon words of length n over Z_5 with trace 2 and subtrace 1; trace 3 and subtrace 1; trace 4 and subtrace 4. Same as number of Lyndon words of length n over GF(5) with trace 1 and subtrace 4; trace 2 and subtrace 1; trace 3 and subtrace 1; trace 4 and subtrace 4.
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LINKS
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F. Ruskey, 5-ary Lyndon words of given trace and subtrace
F. Ruskey, 5-ary Lyndon words of given trace and subtrace over GF(5)
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EXAMPLE
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a(4;3,1)=7 since the seven 5-ary Lyndon words of trace 3, subtrace 1 and length 4 are { 0044, 0233, 0323, 0332, 1124, 1142, 1214 }.
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CROSSREFS
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Cf. A074414, A074415, A074416, A074417, A074418, A074419, A074420.
Sequence in context: A150476 A150477 A151537 this_sequence A150478 A150479 A150480
Adjacent sequences: A074418 A074419 A074420 this_sequence A074422 A074423 A074424
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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 22 2002
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