id:A060828 - OEIS Search Results

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Size of the Sylow 3-subgroup of the symmetric group S_n.

+0
3

1, 1, 1, 3, 3, 3, 9, 9, 9, 81, 81, 81, 243, 243, 243, 729, 729, 729, 6561, 6561, 6561, 19683, 19683, 19683, 59049, 59049, 59049, 1594323, 1594323, 1594323, 4782969, 4782969, 4782969, 14348907, 14348907, 14348907, 129140163, 129140163, 129140163, 387420489 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`a(n) = 3^(A054861(n)) = 3^([n/3]+[n/9]+[n/27]+[n/81]+...)`
	EXAMPLE	`a(3) = 3 because in S_3 the Sylow 3-subgroup is the subgroup generated by the 3-cycles (123) and (132), its order is 3.`
	CROSSREFS	`Cf. A054861, A060818.` `Sequence in context: A029628 A132171 A127975 this_sequence A097707 A115282 A029616` `Adjacent sequences: A060825 A060826 A060827 this_sequence A060829 A060830 A060831`
	KEYWORD	`nonn`
	AUTHOR	`Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 30 2001`
	EXTENSIONS	`More terms from njas, Jul 03 2008`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

AT&T Labs Research