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Search: id:A053505
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| A053505 |
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Number of degree-n permutations of order dividing 30. |
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+0
35
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| 1, 1, 2, 6, 18, 90, 540, 3060, 20700, 145980, 1459800, 13854600, 140059800, 1514748600, 15869034000, 285268878000, 4109761962000, 59488383690000, 935767530036000, 13364309726748000, 240338216104020000, 4540941256642020000
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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+1/3*x^3+1/5*x^5+1/6*x^6+1/10*x^10+1/15*x^15+1/30*x^30)
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A144557 A118455 A165774 this_sequence A000138 A028857 A052687
Adjacent sequences: A053502 A053503 A053504 this_sequence A053506 A053507 A053508
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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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