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%I #2 Mar 31 2012 10:22:07
%S 3,15,280,11340,798336,86486400,13343616000,2778808032000,
%T 750895681536000,255454710858547200,106826515449937920000,
%U 53858368206010368000000,32215590089995124736000000
%N Ratio of (2n-1)! to number of zeros in Sylvester matrix of polynomial of n degree with all nonzero coefficients.
%C (2n-1)! = A009445 = number of monomials in determinant of symbolic square matrix of size 2n-1 X 2n-1 without zeros.
%F a(n)=(2 n - 1)!/(2 (n - 1)^2) (n=2,3,4,...)
%t Table[(2 n - 1)!/(2 (n - 1)^2), {n, 2, 20}]
%Y Cf. A001105, A009445, A007878.
%K nonn
%O 2,1
%A _Artur Jasinski_, Apr 02 2008
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