id:A086501 - OEIS Search Results

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Number of non-commuting permutations: number of ordered pairs g, h in Symm(n) such that gh <> hg, i.e. the subgroup <g,h> is non-abelian.

+0
1

0, 0, 18, 456, 13560, 510480, 25326000, 1624815360, 131671008000, 13168037030400, 1593348686899200, 229442495919436800, 38775787414703539200, 7600054444782928128000, 1710012252494048735232000 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n) = n!^2 - A053529(n) = n! * ( n! - p(n) ) where p(n) is the number of partitions of n (A000041).`
	CROSSREFS	`Cf. A053529, A000041.` `Sequence in context: A111454 A116421 A005477 this_sequence A053115 A084273 A027405` `Adjacent sequences: A086498 A086499 A086500 this_sequence A086502 A086503 A086504`
	KEYWORD	`nonn`
	AUTHOR	`Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 09 2003`
	EXTENSIONS	`More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 17 2003`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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