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A027616 Number of permutations of n elements containing a 2-cycle. 2
0, 0, 1, 3, 9, 45, 285, 1995, 15855, 142695, 1427895, 15706845, 188471745, 2450132685, 34301992725, 514529890875 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

FORMULA

n! * { 1 - sum[ k=0..floor(n/2) ] (-1)^k / (2^k * k!) }.

a(n) + A000266(n) = n!. - Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 09 2003

CROSSREFS

Sequence in context: A038059 A174318 A004990 * A013492 A106341 A065407

Adjacent sequences:  A027613 A027614 A027615 * A027617 A027618 A027619

KEYWORD

nonn

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified February 16 06:27 EST 2012. Contains 205860 sequences.