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A001473
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Number of degree-n permutations of order exactly 4.
(Formerly M4206 N1756)
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25
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0, 0, 0, 6, 30, 180, 840, 5460, 30996, 209160, 1290960, 9753480, 69618120, 571627056, 4443697440, 40027718640, 346953934320, 3369416698080, 31421601510336, 328430320909920, 3331475969159520, 37124416523261760
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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REFERENCES
| L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. J. Math., 7 (1955), 159-168.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| E.g.f.: -exp(x+1/2*x^2)+exp(x+1/2*x^2+1/4*x^4).
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CROSSREFS
| Cf. A000085, A001470, A001472, A052501, A053496-A053505, A001189, A001471, A001473, A061121-A061128.
Sequence in context: A001341 A089896 A057754 * A063888 A029571 A109501
Adjacent sequences: A001470 A001471 A001472 * A001474 A001475 A001476
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 14 2001
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