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Search: id:A005388
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| A005388 |
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Number of degree-n permutations of order a power of 2.
(Formerly M1293)
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+0
12
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| 1, 1, 2, 4, 16, 56, 256, 1072, 11264, 78976, 672256, 4653056, 49810432, 433429504, 4448608256, 39221579776, 1914926104576, 29475151020032, 501759779405824, 6238907914387456, 120652091860975616, 1751735807564578816, 29062253310781161472
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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(Sum(x^(2^m)/2^m, m=0..inf)).
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CROSSREFS
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Cf. A000085, A001470, A001472, A053495-A053505.
Cf. A053503.
Sequence in context: A010362 A001472 A053498 this_sequence A053503 A153957 A068789
Adjacent sequences: A005385 A005386 A005387 this_sequence A005389 A005390 A005391
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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