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A064430
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Product of the sizes of the conjugacy classes of the symmetric group S_n.
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OFFSET
| 1,3
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FORMULA
| a(n) = (n!)^(A000041(n)) / A007870(n)^2
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EXAMPLE
| a(3) = 6 because the sizes of the conjugacy classes in S_3 are 1,2,3 and the product is 6.
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PROG
| (MAGMA) [ &*[ c[2] : c in ClassesData(Sym(n))] : n in [1..10]]; - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
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CROSSREFS
| Cf. A007870, A000041, A063073, A000142.
Sequence in context: A006114 A201141 A078927 * A180992 A137801 A076667
Adjacent sequences: A064427 A064428 A064429 * A064431 A064432 A064433
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KEYWORD
| nonn
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AUTHOR
| Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 30 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 04 2001
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