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A298074
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The number of k-cycles in the symmetric group on k symbols whose commutator with the standard k-cycle (1,2,...,k) is a k-cycle, where k = 2n-1.
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0
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OFFSET
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1,3
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COMMENTS
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With the exception of the second term, it is not hard to prove that the sequence increases monotonically. Empirically, the growth is super-exponential.
For even k, there are no such k-cycles in S_k whose commutator with the standard k-cycle is a k-cycle.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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