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A074419
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Number of 5-ary Lyndon words of length n over Z_5 with trace 1 and subtrace 2.
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7
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0, 0, 0, 5, 25, 107, 450, 1950, 8666, 39050, 177500, 813490, 3755048, 17437275, 81380200, 381473625, 1795156250, 8477100632, 40154687500, 190734843750, 908261160564, 4334882723750, 20732048658288, 99341072183730, 476837158203125, 2292486345026923
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OFFSET
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1,4
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COMMENTS
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Same as number of Lyndon words of length n over Z_5 with trace 2 and subtrace 3; trace 3 and subtrace 3; trace 4 and subtrace 2. Same as number of Lyndon words of length n over GF(5) with trace 1 and subtrace 2; trace 2 and subtrace 3; trace 3 and subtrace 3; trace 4 and subtrace 2.
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LINKS
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EXAMPLE
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a(4;1,2)=5 since the five 5-ary Lyndon words of trace 1, subtrace 2 and length 4 are { 0222, 1113, 1244, 1424, 1442 }.
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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