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A096471 Number of degree-n permutations with exactly one even cycle. 2
1, 3, 12, 60, 345, 2415, 18480, 166320, 1596105, 17557155, 202951980, 2638375740, 35703612945, 535554194175, 8307234936000, 141222993912000, 2470641012464625, 46942179236827875, 914462992955011500 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Robert Israel, Table of n, a(n) for n = 2..449

FORMULA

E.g.f.: -1/2*((1+x)/(1-x))^(1/2)*log(1-x^2).

MAPLE

S:= series(-1/2*((1+x)/(1-x))^(1/2)*log(1-x^2), x, 51):

seq(coeff(S, x, n)*n!, n=2..50); # Robert Israel, Nov 13 2017

CROSSREFS

Cf. A060523, A028353.

Sequence in context: A092803 A181282 A020052 * A140097 A105227 A000258

Adjacent sequences:  A096468 A096469 A096470 * A096472 A096473 A096474

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Aug 13 2004

STATUS

approved

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Last modified February 18 09:57 EST 2019. Contains 320250 sequences. (Running on oeis4.)