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A053502
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Number of degree-n permutations of order dividing 12.
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0
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1, 1, 2, 6, 24, 96, 576, 3312, 21456, 152784, 1237536, 9984096, 133494912, 1412107776, 16369357824, 206123325696, 2866280276736, 36809077162752, 592066290710016, 8800038127378944, 136876273991755776, 2197453620220010496
(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+1/4*x^4+1/6*x^6+1/12*x^12).
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CROSSREFS
| Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A152331 A152324 A147887 * A053504 A060725 A150299
Adjacent sequences: A053499 A053500 A053501 * A053503 A053504 A053505
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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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