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A053497
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Number of degree-n permutations of order dividing 7.
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0
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1, 1, 1, 1, 1, 1, 1, 721, 5761, 25921, 86401, 237601, 570241, 1235521, 892045441, 13348249201, 106757164801, 604924594561, 2722120577281, 10344007402561, 34479959558401, 24928970490633601, 546446134633639681, 6281586217487489041
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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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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CROSSREFS
| Cf. A000085, A001470, A001472, A053495-A053505, A005388.
E.g.f.: exp(x+1/7*x^7).
Sequence in context: A014440 A159295 A154515 * A139154 A139165 A133531
Adjacent sequences: A053494 A053495 A053496 * A053498 A053499 A053500
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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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