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A064430 Product of the sizes of the conjugacy classes of the symmetric group S_n. 0
1, 1, 6, 864, 43200000, 272097792000000000, 3416681839784939886182400000000000, 1847600699255039694224318542233446367734016245760000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..8.

FORMULA

a(n) = (n!)^(A000041(n)) / A007870(n)^2

EXAMPLE

a(3) = 6 because the sizes of the conjugacy classes in S_3 are 1,2,3 and the product is 6.

PROG

(MAGMA) [ &*[ c[2] : c in ClassesData(Sym(n))] : n in [1..10]]; // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

CROSSREFS

Cf. A007870, A000041, A063073, A000142.

Sequence in context: A281690 A201141 A078927 * A279304 A180992 A229629

Adjacent sequences:  A064427 A064428 A064429 * A064431 A064432 A064433

KEYWORD

nonn

AUTHOR

Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 30 2001

EXTENSIONS

More terms from Vladeta Jovovic, Oct 04 2001

STATUS

approved

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Last modified September 20 20:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)