id:A029572 - OEIS Search Results

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Number of permutations of an n-set containing a 5-cycle.

+0
2

0, 0, 0, 0, 0, 24, 144, 1008, 8064, 72576, 653184, 7185024, 86220288, 1120863744, 15692092416, 237124952064, 3793999233024, 64497986961408, 1160963765305344, 22058311540801536, 441004037348818944 (list; graph; listen)

	OFFSET	`0,6`
	FORMULA	`a(n) = n! (1 - sum_{k=0}^floor[ n/5 ] (-1)^k/(k!5^k)); a(n)/n! is asymptotic to 1-e^(-1/5).`
	CROSSREFS	`Adjacent sequences: A029569 A029570 A029571 this_sequence A029573 A029574 A029575` `Sequence in context: A059593 A054118 A001342 this_sequence A129923 A064138 A042116`
	KEYWORD	`nonn`
	AUTHOR	`Robert W. Pratt (Rob.Pratt(AT)sas.com)`

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Last modified October 13 18:42 EDT 2008. Contains 145016 sequences.

AT&T Labs Research