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A074880
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Number of labeled cyclic subgroups of S_n having order n.
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1
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1, 1, 1, 3, 6, 120, 120, 1260, 6720, 128520, 362880, 20041560, 39916800, 1132971840, 11721790080, 163459296000, 1307674368000, 87307501881600, 355687428096000, 19137704006453760, 205947392645030400, 5118231678995635200, 51090942171709440000, 4769913628444053196800
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OFFSET
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1,4
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LINKS
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FORMULA
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PROG
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(PARI) a(n)={n!*polcoeff(sumdiv(n, i, moebius(n/i)*exp(sumdiv(i, j, x^j/j) + O(x*x^n))), n)/eulerphi(n)} \\ Andrew Howroyd, Jul 02 2018
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CROSSREFS
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KEYWORD
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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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