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Search: id:A053499
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| A053499 |
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Number of degree-n permutations of order dividing 9. |
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+0
1
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| 1, 1, 1, 3, 9, 21, 81, 351, 1233, 46089, 434241, 2359611, 27387801, 264333213, 1722161169, 16514298711, 163094452641, 1216239520401, 50883607918593, 866931703203699, 8473720481213481, 166915156382509221, 2699805625227141201
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OFFSET
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0,4
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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+1/3*x^3+1/9*x^9).
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A062811 A001470 A118932 this_sequence A146909 A146248 A074000
Adjacent sequences: A053496 A053497 A053498 this_sequence A053500 A053501 A053502
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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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