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A060164
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Number of orbits of length n under the map whose periodic points are counted by A000364.
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10
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1, 2, 20, 345, 10104, 450450, 28480140, 2423938845, 267208852820, 37037118818700, 6304443126648900, 1292877846962865230, 314390193022547991720, 89447117243116404721950, 29436259549934873636908816, 11094961973721205588579579845, 4748429366816935180127543967840
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OFFSET
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1,2
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COMMENTS
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The sequence A000364 seems to record the number of points of period n under a map. The number of orbits of length n for this map gives the sequence above.
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LINKS
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FORMULA
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a(n) = (1/n)* Sum_{d|n} mu(d)*A000364(n/d).
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EXAMPLE
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u(3) = 20 since the conjectured map whose periodic points are counted by A000364 would have 1 fixed point and 61 points of period 3, so it must have 20 orbits of length 3.
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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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STATUS
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approved
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