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A061136 Number of degree-n odd permutations of order dividing 4. 6

%I #8 Jul 02 2019 02:56:36

%S 0,0,1,3,12,40,120,336,2128,13392,118800,850960,6004416,38408448,

%T 260321152,1744135680,17067141120,167200393216,1838196972288,

%U 18345298804992,181218866222080,1673804042803200,16992835499329536

%N Number of degree-n odd permutations of order dividing 4.

%H Lev Glebsky, Melany Licón, Luis Manuel Rivera, <a href="https://arxiv.org/abs/1907.00548">On the number of even roots of permutations</a>, arXiv:1907.00548 [math.CO], 2019.

%F E.g.f.: 1/2*exp(x + 1/2*x^2 + 1/4*x^4) - 1/2*exp(x - 1/2*x^2 - 1/4*x^4).

%Y Cf. A000085, A001470, A001472, A052501, A053496 - A053505, A001189, A001471, A001473, A061121 - A061128, A000704, A061129 - A061132, A048099, A051695, A061133 - A061135, A001465, A061136 - A061140.

%K easy,nonn

%O 0,4

%A _Vladeta Jovovic_, Apr 14 2001

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Last modified April 24 19:06 EDT 2024. Contains 371962 sequences. (Running on oeis4.)