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A053504
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Number of degree-n permutations of order dividing 24.
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1
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1, 1, 2, 6, 24, 96, 576, 3312, 26496, 198144, 1691136, 14973696, 193370112, 2034809856, 25087186944, 313539434496, 4421478721536, 58307347556352, 915011420737536, 13553664911437824, 240637745416421376, 3965015057937924096
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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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LINKS
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Table of n, a(n) for n=0..21.
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FORMULA
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E.g.f.: exp(x+1/2*x^2+1/3*x^3+1/4*x^4+1/6*x^6+1/8*x^8+1/12*x^12+1/24*x^24)
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505, A005388.
Sequence in context: A152324 A147887 A053502 * A215716 A060725 A150299
Adjacent sequences: A053501 A053502 A053503 * A053505 A053506 A053507
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Jan 15 2000
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STATUS
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approved
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