A029577 - OEIS

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A029577

Number of permutations of an n-set containing a 10-cycle.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 362880, 3991680, 47900160, 622702080, 8717829120, 130767436800, 2092278988800, 35568742809600, 640237370572800, 12164510040883200, 231125690776780800 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,11`
	LINKS	`Table of n, a(n) for n=0..20.`
	FORMULA	`a(n) = n! (1 - sum_{k=0}^floor[ n/10 ] (-1)^k/(k!10^k)); a(n)/n! is asymptotic to 1-e^(-1/10).`
	CROSSREFS	`Sequence in context: A011520 A179736 A045511 * A133360 A213871 A179064` `Adjacent sequences: A029574 A029575 A029576 * A029578 A029579 A029580`
	KEYWORD	`nonn`
	AUTHOR	`Robert W. Pratt (Rob.Pratt(AT)sas.com)`
	STATUS	`approved`

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Last modified June 20 02:00 EDT 2013. Contains 226416 sequences.