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Search: id:A053500
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| A053500 |
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Number of degree-n permutations of order dividing 10. |
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+0 1
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| 1, 1, 2, 4, 10, 50, 220, 1240, 6140, 32860, 602200, 5668400, 62030200, 522328600, 4487190800, 62591332000, 715163146000, 9573774122000, 105731659828000, 1187355279592000, 29205778751300000, 481597207656340000, 9086318388933400000
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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+1/5*x^5+1/10*x^10).
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A028404 A113208 A000613 this_sequence A080090 A125263 A120402
Adjacent sequences: A053497 A053498 A053499 this_sequence A053501 A053502 A053503
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KEYWORD
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nonn
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AUTHOR
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njas, Jan 15 2000
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