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%I #4 May 10 2013 12:44:45
%S 0,0,0,0,0,0,210,5040,37800,201600,2044350,25530120,213993780,
%T 1692490800,19767998250,232823791200,2235629476080,23171222430720,
%U 294649445112750,4300403589581400,55176842335916700,660577269463243440
%N Number of degree-n even permutations of order exactly 6.
%F E.g.f.: exp(x) - 1/2*exp(x + 1/2*x^2) - 1/2*exp(x - 1/2*x^2) - exp(x + 1/3*x^3) + 1/2*exp(x + 1/2*x^2 + 1/3*x^3 + 1/6*x^6) + 1/2*exp(x - 1/2*x^2 + 1/3*x^3 - 1/6*x^6).
%Y Cf. A000085, A001470, A001472, A052501, A053496 - A053505, A001189, A001471, A001473, A061121 - A061128, A000704, A061129 - A061132, A048099, A051695, A061133 - A061135.
%K easy,nonn
%O 1,7
%A _Vladeta Jovovic_, Apr 14 2001