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Search: id:A053496
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| A053496 |
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Number of degree-n permutations of order dividing 6. |
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25
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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
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OFFSET
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0,3
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REFERENCES
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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
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E.g.f.: exp(x+1/2*x^2+1/3*x^3+1/6*x^6).
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A150076 A150077 A057693 this_sequence A079577 A150078 A150079
Adjacent sequences: A053493 A053494 A053495 this_sequence A053497 A053498 A053499
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
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