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Search: id:A064430
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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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+0
1
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| 1, 1, 6, 864, 43200000, 272097792000000000, 3416681839784939886182400000000000, 1847600699255039694224318542233446367734016245760000000000000000
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OFFSET
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1,3
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FORMULA
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a(n) = (n!)^(A000041(n)) / A007870(n)^2
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EXAMPLE
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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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PROGRAM
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(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
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Cf. A007870, A000041, A063073, A000142.
Sequence in context: A045480 A006114 A078927 this_sequence A137801 A076667 A000652
Adjacent sequences: A064427 A064428 A064429 this_sequence A064431 A064432 A064433
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KEYWORD
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nonn
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AUTHOR
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Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 30 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 04 2001
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