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A053498
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Number of degree-n permutations of order dividing 8.
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0
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1, 1, 2, 4, 16, 56, 256, 1072, 11264, 78976, 672256, 4653056, 49810432, 433429504, 4448608256, 39221579776, 607251736576, 7244686764032, 101611422797824, 1170362064019456, 19281174853615616, 261583327556386816, 4084459360167657472
(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
| exp(x+1/2*x^2+1/4*x^4+1/8*x^8).
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CROSSREFS
| Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A153948 A010362 A001472 * A005388 A053503 A153957
Adjacent sequences: A053495 A053496 A053497 * A053499 A053500 A053501
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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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