id:A029575 - OEIS Search Results

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Number of permutations of an n-set containing a 8-cycle.

+0
1

0, 0, 0, 0, 0, 0, 0, 0, 5040, 45360, 453600, 4989600, 59875200, 778377600, 10897286400, 163459296000, 2451889440000, 41682120480000, 750278168640000, 14255285204160000, 285105704083200000 (list; graph; listen)

	OFFSET	`0,9`
	FORMULA	`a(n) = n! (1 - sum_{k=0}^floor[ n/8 ] (-1)^k/(k!8^k)); a(n)/n! is asymptotic to 1-e^(-1/8).`
	CROSSREFS	`Sequence in context: A090393 A061140 A061122 this_sequence A135456 A055362 A053876` `Adjacent sequences: A029572 A029573 A029574 this_sequence A029576 A029577 A029578`
	KEYWORD	`nonn`
	AUTHOR	`Robert W. Pratt (Rob.Pratt(AT)sas.com)`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

AT&T Labs Research