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A053496
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Number of degree-n permutations of order dividing 6.
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24
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1, 1, 2, 6, 18, 66, 396, 2052, 12636, 91548, 625176, 4673736, 43575192, 377205336, 3624289488, 38829340656, 397695226896, 4338579616272, 54018173703456, 641634784488288, 8208962893594656, 113809776294348576, 1526808627197721792
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. J. Math., 7 (1955), 159-168.
R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Example 5.2.10.
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FORMULA
| E.g.f.: exp(x+1/2*x^2+1/3*x^3+1/6*x^6).
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CROSSREFS
| Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A150077 A173385 A057693 * A079577 A150078 A150079
Adjacent sequences: A053493 A053494 A053495 * A053497 A053498 A053499
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
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