id:A071007 - OEIS Search Results

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Number of permutations in the symmetric group S_n such that the maximal cycle has length exactly 3.

+0
2

0, 0, 2, 8, 40, 200, 980, 5152, 28448, 162080, 979000, 6179360, 40575392, 279199648, 1997406320, 14825619200, 114365751040, 912510870272, 7521873125408, 64045101880960, 561615674345600, 5067769601121920 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`E.g.f.: exp( x + (x^2)/2 + (x^3)/3 ) - exp( x + (x^2)/2 ).`
	FORMULA	`a(n) = A057693(n) - A000085(n)`
	PROGRAM	`(PARI) for(n=1, 25, print1(polcoeff(serlaplace(exp(x+x^2/2+x^3/3)-exp(x+x^2/2)), n)", "))`
	CROSSREFS	`Cf. A057693, A000085, A027617.` `Sequence in context: A127919 A074092 A003445 this_sequence A027617 A154626 A003305` `Adjacent sequences: A071004 A071005 A071006 this_sequence A071008 A071009 A071010`
	KEYWORD	`nonn`
	AUTHOR	`Sharon Sela (sharonsela(AT)hotmail.com), May 19 2002`
	EXTENSIONS	`More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 09 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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