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%I #3 Mar 30 2012 16:50:34
%S 1,1,1,18,32400,17146080000,5838929512416000000,
%T 2371384771694500507545600000000,
%U 1912347371757319698802901729638809600000000000,4729554291048229774403876712233157022270603395072000000000000000,52408889027141714669562863434538278134100104813558451332105036103680000000000000000000
%N Number of maximal chains in the Stanley lattice of order n.
%D D. E. Knuth, TAOCP, Section 7.2.1.6, Problem 34.
%F (n*(n-1)/2)! * Product( (2*i-1)^(n-i),i=1..n-1).
%p f:=n-> (n*(n-1)/2)! * mul( (2*i-1)^(n-i),i=1..n-1);
%K nonn
%O 0,4
%A _N. J. A. Sloane_, Oct 15 2006