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A087137 a(n) is the number of permutations in the symmetric group S_n that contain an odd cycle. 2
1, 1, 6, 15, 120, 495, 5040, 29295, 362880, 2735775, 39916800, 370945575, 6227020800, 68916822975, 1307674368000, 16813959537375, 355687428096000, 5214921734397375, 121645100408832000, 2004231846526284375 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

E.g.f.: 1/(1-x)-1/sqrt(1-x^2). If n is odd then a(n) = n! else a(n) = n!-((n-1)!!)^2.

CROSSREFS

Cf. A059838, A001818.

Sequence in context: A013222 A013228 A133472 * A056317 A129421 A013227

Adjacent sequences:  A087134 A087135 A087136 * A087138 A087139 A087140

KEYWORD

nonn

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Oct 18 2003

EXTENSIONS

Formulae and more terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 31 2003

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Last modified February 14 09:18 EST 2012. Contains 205614 sequences.