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Search: id:A103619
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| A103619 |
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Number of permutations of n elements admitting a cube root. |
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+0
3
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| 1, 1, 2, 4, 16, 80, 400, 2800, 22400, 181440, 1814400, 19958400, 218803200, 2844441600, 39822182400, 556972416000, 8911558656000, 151496497152000, 2579172973977600, 49004286505574400, 980085730111488000
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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H. S. Wilf, Generatingfunctionology, 2nd edn., Academic Press, NY, 1994, p. 149, Eq. 4.8.2.
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FORMULA
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E.g.f.: (1-x^3)^(1/3)/(1-x)*Product(1/3*exp(1/3*x^(3*m)/m)+2/3*exp(-1/6*x^(3*m)/m)*cos(1/6*3^(1/2)*x^(3*m)/m), m = 1 .. infinity).
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CROSSREFS
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Cf. A003483, A103620, A102687.
Sequence in context: A155519 A058926 A102736 this_sequence A027436 A025225 A115125
Adjacent sequences: A103616 A103617 A103618 this_sequence A103620 A103621 A103622
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 11 2005
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