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A053500 Number of degree-n permutations of order dividing 10. +0
1
1, 1, 2, 4, 10, 50, 220, 1240, 6140, 32860, 602200, 5668400, 62030200, 522328600, 4487190800, 62591332000, 715163146000, 9573774122000, 105731659828000, 1187355279592000, 29205778751300000, 481597207656340000, 9086318388933400000 (list; graph; listen)
OFFSET

0,3

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.

FORMULA

E.g.f.: exp(x+1/2*x^2+1/5*x^5+1/10*x^10).

CROSSREFS

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

KEYWORD

nonn

AUTHOR

njas, Jan 15 2000

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.


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